Obtain the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure. Obtain the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure.

Question

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Answer 1

Question

Chapter 7, Problem 39E

a.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure.

a.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The probability that an individual in the age group of 15 to 19 who spends less than 15 minutes per day using the computer for leisure is 0.2212.

Explanation of Solution

The exponential parameter value for the age group of 75 years and older is as follows:

λ=118 minutes.

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−118(15)=1−e−(0.8333)=1−0.4346=0.5654

Therefore, the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The exponential parameter value for the age group of 15 to 19 years is as follows:

λ=160 minutes.

The probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−160(15)=1−e−(0.25)=1−0.7788=0.2212

Therefore, the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is 0.2212.

b.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours.

Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.

b.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−118(120)=e−(6.6667)=0.0013

Therefore, the probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−160(120)=e−(2)=0.1353

Therefore, the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

c.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure.

c.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−118(30)−e−118(90)=0.1889−0.0067=0.1822

Therefore, the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−160(30)−e−160(90)=0.6065−0.2231=0.3834

Therefore, the probability that an individual in the age group of 15 to 19 who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

d.

To determine

Obtain the 20^th percentile of the age group of 75 years and older.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group 75 years and older spend using the computer for leisure.

Obtain the 20^th percentile of the age group of 15 to 19 years.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group of 15 to 19 years spend using the computer for leisure.

d.

Expert Solution

Answer to Problem 39E

The 20^th percentile of the age group of 75 years and older is 4 minutes.

About eighty percent of the individuals of the age group 75 years and older spend more than 4 minutes using the computer for leisure.

The 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

About eighty percent of the individuals of the age group of 15 to 19 years spend more than 13.4 minutes using the computer for leisure.

Explanation of Solution

Let K be the 20^th percentile value of the age group of 75 years and older.

1−e−k18=0.20−k18=ln(0.80)k=−18ln(0.80)≅4

Therefore, the 20^th percentile of the age group of 75 years and older is 4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 75 years and older spend more than 4 minutes.

Let S be the 20^th percentile value of the age group of 15 to 19 years.

1−e−S60=0.20−S60=ln(0.80)S=−60ln(0.80)≅13.4

Therefore, the 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 15 to 19 years spend more than 13.4 minutes.

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Answer 2

Question

Chapter 7, Problem 39E

a.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure.

a.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The probability that an individual in the age group of 15 to 19 who spends less than 15 minutes per day using the computer for leisure is 0.2212.

Explanation of Solution

The exponential parameter value for the age group of 75 years and older is as follows:

λ=118 minutes.

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−118(15)=1−e−(0.8333)=1−0.4346=0.5654

Therefore, the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The exponential parameter value for the age group of 15 to 19 years is as follows:

λ=160 minutes.

The probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−160(15)=1−e−(0.25)=1−0.7788=0.2212

Therefore, the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is 0.2212.

b.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours.

Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.

b.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−118(120)=e−(6.6667)=0.0013

Therefore, the probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−160(120)=e−(2)=0.1353

Therefore, the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

c.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure.

c.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−118(30)−e−118(90)=0.1889−0.0067=0.1822

Therefore, the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−160(30)−e−160(90)=0.6065−0.2231=0.3834

Therefore, the probability that an individual in the age group of 15 to 19 who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

d.

To determine

Obtain the 20^th percentile of the age group of 75 years and older.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group 75 years and older spend using the computer for leisure.

Obtain the 20^th percentile of the age group of 15 to 19 years.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group of 15 to 19 years spend using the computer for leisure.

d.

Expert Solution

Answer to Problem 39E

The 20^th percentile of the age group of 75 years and older is 4 minutes.

About eighty percent of the individuals of the age group 75 years and older spend more than 4 minutes using the computer for leisure.

The 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

About eighty percent of the individuals of the age group of 15 to 19 years spend more than 13.4 minutes using the computer for leisure.

Explanation of Solution

Let K be the 20^th percentile value of the age group of 75 years and older.

1−e−k18=0.20−k18=ln(0.80)k=−18ln(0.80)≅4

Therefore, the 20^th percentile of the age group of 75 years and older is 4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 75 years and older spend more than 4 minutes.

Let S be the 20^th percentile value of the age group of 15 to 19 years.

1−e−S60=0.20−S60=ln(0.80)S=−60ln(0.80)≅13.4

Therefore, the 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 15 to 19 years spend more than 13.4 minutes.

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Answer 3

Question

Chapter 7, Problem 39E

a.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure.

a.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The probability that an individual in the age group of 15 to 19 who spends less than 15 minutes per day using the computer for leisure is 0.2212.

Explanation of Solution

The exponential parameter value for the age group of 75 years and older is as follows:

λ=118 minutes.

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−118(15)=1−e−(0.8333)=1−0.4346=0.5654

Therefore, the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The exponential parameter value for the age group of 15 to 19 years is as follows:

λ=160 minutes.

The probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−160(15)=1−e−(0.25)=1−0.7788=0.2212

Therefore, the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is 0.2212.

b.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours.

Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.

b.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−118(120)=e−(6.6667)=0.0013

Therefore, the probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−160(120)=e−(2)=0.1353

Therefore, the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

c.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure.

c.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−118(30)−e−118(90)=0.1889−0.0067=0.1822

Therefore, the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−160(30)−e−160(90)=0.6065−0.2231=0.3834

Therefore, the probability that an individual in the age group of 15 to 19 who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

d.

To determine

Obtain the 20^th percentile of the age group of 75 years and older.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group 75 years and older spend using the computer for leisure.

Obtain the 20^th percentile of the age group of 15 to 19 years.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group of 15 to 19 years spend using the computer for leisure.

d.

Expert Solution

Answer to Problem 39E

The 20^th percentile of the age group of 75 years and older is 4 minutes.

About eighty percent of the individuals of the age group 75 years and older spend more than 4 minutes using the computer for leisure.

The 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

About eighty percent of the individuals of the age group of 15 to 19 years spend more than 13.4 minutes using the computer for leisure.

Explanation of Solution

Let K be the 20^th percentile value of the age group of 75 years and older.

1−e−k18=0.20−k18=ln(0.80)k=−18ln(0.80)≅4

Therefore, the 20^th percentile of the age group of 75 years and older is 4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 75 years and older spend more than 4 minutes.

Let S be the 20^th percentile value of the age group of 15 to 19 years.

1−e−S60=0.20−S60=ln(0.80)S=−60ln(0.80)≅13.4

Therefore, the 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 15 to 19 years spend more than 13.4 minutes.

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Answer 4

Question

Chapter 7, Problem 39E

a.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure.

a.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The probability that an individual in the age group of 15 to 19 who spends less than 15 minutes per day using the computer for leisure is 0.2212.

Explanation of Solution

The exponential parameter value for the age group of 75 years and older is as follows:

λ=118 minutes.

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−118(15)=1−e−(0.8333)=1−0.4346=0.5654

Therefore, the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The exponential parameter value for the age group of 15 to 19 years is as follows:

λ=160 minutes.

The probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−160(15)=1−e−(0.25)=1−0.7788=0.2212

Therefore, the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is 0.2212.

b.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours.

Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.

b.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−118(120)=e−(6.6667)=0.0013

Therefore, the probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−160(120)=e−(2)=0.1353

Therefore, the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

c.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure.

c.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−118(30)−e−118(90)=0.1889−0.0067=0.1822

Therefore, the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−160(30)−e−160(90)=0.6065−0.2231=0.3834

Therefore, the probability that an individual in the age group of 15 to 19 who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

d.

To determine

Obtain the 20^th percentile of the age group of 75 years and older.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group 75 years and older spend using the computer for leisure.

Obtain the 20^th percentile of the age group of 15 to 19 years.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group of 15 to 19 years spend using the computer for leisure.

d.

Expert Solution

Answer to Problem 39E

The 20^th percentile of the age group of 75 years and older is 4 minutes.

About eighty percent of the individuals of the age group 75 years and older spend more than 4 minutes using the computer for leisure.

The 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

About eighty percent of the individuals of the age group of 15 to 19 years spend more than 13.4 minutes using the computer for leisure.

Explanation of Solution

Let K be the 20^th percentile value of the age group of 75 years and older.

1−e−k18=0.20−k18=ln(0.80)k=−18ln(0.80)≅4

Therefore, the 20^th percentile of the age group of 75 years and older is 4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 75 years and older spend more than 4 minutes.

Let S be the 20^th percentile value of the age group of 15 to 19 years.

1−e−S60=0.20−S60=ln(0.80)S=−60ln(0.80)≅13.4

Therefore, the 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 15 to 19 years spend more than 13.4 minutes.

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Answer 5

Chapter 7, Problem 39E

a.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure.

a.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The probability that an individual in the age group of 15 to 19 who spends less than 15 minutes per day using the computer for leisure is 0.2212.

Explanation of Solution

The exponential parameter value for the age group of 75 years and older is as follows:

λ=118 minutes.

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−118(15)=1−e−(0.8333)=1−0.4346=0.5654

Therefore, the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The exponential parameter value for the age group of 15 to 19 years is as follows:

λ=160 minutes.

The probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−160(15)=1−e−(0.25)=1−0.7788=0.2212

Therefore, the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is 0.2212.

b.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours.

Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.

b.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−118(120)=e−(6.6667)=0.0013

Therefore, the probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−160(120)=e−(2)=0.1353

Therefore, the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

c.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure.

c.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−118(30)−e−118(90)=0.1889−0.0067=0.1822

Therefore, the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−160(30)−e−160(90)=0.6065−0.2231=0.3834

Therefore, the probability that an individual in the age group of 15 to 19 who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

d.

To determine

Obtain the 20^th percentile of the age group of 75 years and older.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group 75 years and older spend using the computer for leisure.

Obtain the 20^th percentile of the age group of 15 to 19 years.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group of 15 to 19 years spend using the computer for leisure.

d.

Expert Solution

Answer to Problem 39E

The 20^th percentile of the age group of 75 years and older is 4 minutes.

About eighty percent of the individuals of the age group 75 years and older spend more than 4 minutes using the computer for leisure.

The 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

About eighty percent of the individuals of the age group of 15 to 19 years spend more than 13.4 minutes using the computer for leisure.

Explanation of Solution

Let K be the 20^th percentile value of the age group of 75 years and older.

1−e−k18=0.20−k18=ln(0.80)k=−18ln(0.80)≅4

Therefore, the 20^th percentile of the age group of 75 years and older is 4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 75 years and older spend more than 4 minutes.

Let S be the 20^th percentile value of the age group of 15 to 19 years.

1−e−S60=0.20−S60=ln(0.80)S=−60ln(0.80)≅13.4

Therefore, the 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 15 to 19 years spend more than 13.4 minutes.

Answer 6

Chapter 7, Problem 39E

a.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure.

a.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The probability that an individual in the age group of 15 to 19 who spends less than 15 minutes per day using the computer for leisure is 0.2212.

Explanation of Solution

The exponential parameter value for the age group of 75 years and older is as follows:

λ=118 minutes.

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−118(15)=1−e−(0.8333)=1−0.4346=0.5654

Therefore, the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The exponential parameter value for the age group of 15 to 19 years is as follows:

λ=160 minutes.

The probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−160(15)=1−e−(0.25)=1−0.7788=0.2212

Therefore, the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is 0.2212.

Answer 7

Chapter 7, Problem 39E

a.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure.

Answer 8

a.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The probability that an individual in the age group of 15 to 19 who spends less than 15 minutes per day using the computer for leisure is 0.2212.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The exponential parameter value for the age group of 75 years and older is as follows:

λ=118 minutes.

The probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−118(15)=1−e−(0.8333)=1−0.4346=0.5654

Therefore, the probability that an individual in the age group of 75 years and older who spends less than 15 minutes per day using the computer for leisure is 0.5654.

The exponential parameter value for the age group of 15 to 19 years is as follows:

λ=160 minutes.

The probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is calculated as follows:

P(Time spent<15)=1−e−160(15)=1−e−(0.25)=1−0.7788=0.2212

Therefore, the probability that an individual in the age group of 15 to 19 years who spends less than 15 minutes per day using the computer for leisure is 0.2212.

Answer 13

b.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours.

Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.

b.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−118(120)=e−(6.6667)=0.0013

Therefore, the probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−160(120)=e−(2)=0.1353

Therefore, the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

Answer 14

b.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours.

Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.

Answer 15

b.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−118(120)=e−(6.6667)=0.0013

Therefore, the probability that an individual in the age group of 75 years and older who spends more than 2 hours is 0.0013.

The probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is calculated as follows:

P(Time spent>2 hours)=e−160(120)=e−(2)=0.1353

Therefore, the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours is 0.1353.

Answer 20

c.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure.

c.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−118(30)−e−118(90)=0.1889−0.0067=0.1822

Therefore, the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−160(30)−e−160(90)=0.6065−0.2231=0.3834

Therefore, the probability that an individual in the age group of 15 to 19 who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

Answer 21

c.

To determine

Obtain the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure.

Obtain the probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure.

Answer 22

c.

Expert Solution

Answer to Problem 39E

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

Answer 23

c.

Expert Solution

Answer 24

c.

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

The probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−118(30)−e−118(90)=0.1889−0.0067=0.1822

Therefore, the probability that an individual in the age group of 75 years and older who spends between 30 minutes and 90 minutes using the computer for leisure is 0.1822.

The probability that an individual in the age group of 15 to 19 years who spends between 30 minutes and 90 minutes using the computer for leisure is calculated as follows:

P(Spends between 30 minutes and 90 minutes)=e−160(30)−e−160(90)=0.6065−0.2231=0.3834

Therefore, the probability that an individual in the age group of 15 to 19 who spends between 30 minutes and 90 minutes using the computer for leisure is 0.3834.

Answer 27

d.

To determine

Obtain the 20^th percentile of the age group of 75 years and older.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group 75 years and older spend using the computer for leisure.

Obtain the 20^th percentile of the age group of 15 to 19 years.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group of 15 to 19 years spend using the computer for leisure.

d.

Expert Solution

Answer to Problem 39E

The 20^th percentile of the age group of 75 years and older is 4 minutes.

About eighty percent of the individuals of the age group 75 years and older spend more than 4 minutes using the computer for leisure.

The 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

About eighty percent of the individuals of the age group of 15 to 19 years spend more than 13.4 minutes using the computer for leisure.

Explanation of Solution

Let K be the 20^th percentile value of the age group of 75 years and older.

1−e−k18=0.20−k18=ln(0.80)k=−18ln(0.80)≅4

Therefore, the 20^th percentile of the age group of 75 years and older is 4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 75 years and older spend more than 4 minutes.

Let S be the 20^th percentile value of the age group of 15 to 19 years.

1−e−S60=0.20−S60=ln(0.80)S=−60ln(0.80)≅13.4

Therefore, the 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 15 to 19 years spend more than 13.4 minutes.

Answer 28

d.

To determine

Obtain the 20^th percentile of the age group of 75 years and older.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group 75 years and older spend using the computer for leisure.

Obtain the 20^th percentile of the age group of 15 to 19 years.

Obtain the amount of time, more than which, that eighty percent of the individuals of the age group of 15 to 19 years spend using the computer for leisure.

Answer 29

d.

Expert Solution

Answer to Problem 39E

The 20^th percentile of the age group of 75 years and older is 4 minutes.

About eighty percent of the individuals of the age group 75 years and older spend more than 4 minutes using the computer for leisure.

The 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

About eighty percent of the individuals of the age group of 15 to 19 years spend more than 13.4 minutes using the computer for leisure.

Answer 30

d.

Expert Solution

Answer 31

d.

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

Let K be the 20^th percentile value of the age group of 75 years and older.

1−e−k18=0.20−k18=ln(0.80)k=−18ln(0.80)≅4

Therefore, the 20^th percentile of the age group of 75 years and older is 4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 75 years and older spend more than 4 minutes.

Let S be the 20^th percentile value of the age group of 15 to 19 years.

1−e−S60=0.20−S60=ln(0.80)S=−60ln(0.80)≅13.4

Therefore, the 20^th percentile of the age group of 15 to 19 years is 13.4 minutes.

The remaining 80% of the data is above the 20^th percentile value.

Therefore, eighty percent of the age group of 15 to 19 years spend more than 13.4 minutes.

Answer 34

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Solution Summary: The author calculates the probability that an individual in the age group of 75 years and older spends less than 15 minutes per day using the computer for leisure.

Videos

Answer to Problem 39E

Explanation of Solution

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours.

Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.

Answer to Problem 39E

Explanation of Solution

Answer to Problem 39E

Explanation of Solution

Answer to Problem 39E

Explanation of Solution

Want to see more full solutions like this?

Chapter 7 Solutions

Solution Summary: The author calculates the probability that an individual in the age group of 75 years and older spends less than 15 minutes per day using the computer for leisure.

Videos

Answer to Problem 39E

Explanation of Solution

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours. Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.

Answer to Problem 39E

Explanation of Solution

Answer to Problem 39E

Explanation of Solution

Answer to Problem 39E

Explanation of Solution

Want to see more full solutions like this?

Chapter 7 Solutions

Obtain the probability that an individual in the age group of 75 years and older who spends more than 2 hours.

Obtain the probability that an individual in the age group of 15 to 19 years who spends more than 2 hours.