6.1-6.4 Directions Determine whether each of the following variables would best be modeled as continuous or discrete. a. Number of cars passing a certain patrolman during one working day b. Speed of a car (miles per hour) on a freeway

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Answer 1

Textbook Question

Chapter 6, Problem 1SE

6.1-6.4 Directions Determine whether each of the following variables would best be modeled as continuous or discrete.

a. Number of cars passing a certain patrolman during one working day

b. Speed of a car (miles per hour) on a freeway

a.

Expert Solution

To determine

Determine if the number of cars passing a certain patrolman on a working day should be termed as a continuous variable or a discrete variable.

Answer to Problem 1SE

The number of cars passing a certain a patrolman on a working day is a discrete variable.

Explanation of Solution

Discrete variables are the numerical variables that are countable and take a finite value. Continuous variables on the other hand, are not countable at a point but, are measured in a range of values.

In the given case, variable is the number of cars that pass through a certain patrolman during one working day. It can take values such as 1, 2, 5, 10 and so on. Since the number of cars cannot be in decimal form and are countable, it is a discrete variable.

Therefore, the variable ‘Number of cars passing a certain a patrolman during one working day’ is a discrete variable.

b.

Expert Solution

To determine

Determine whether the speed of a car in miles per hour on a freeway should be considered a continuous variable or a discrete variable.

Answer to Problem 1SE

The speed of a car in miles per hour on a freeway is a continuous variable.

Explanation of Solution

As defined above, discrete variables are the numerical variables that is, they are countable and take finite integer value. On the other hand, continuous variables are not countable but are measurable, and are represented as a range of values.

So, the speed of the car measured in miles per hour can take values such as 220 miles per hour, 132.2 miles per hour and so on. Since the variable cannot be counted at a point, but can be measured and take a range of a values, therefore it is called a continuous variable.

Hence, the speed of a car (miles per hour) on a freeway is a continuous variable.

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Answer 2

Textbook Question

Chapter 6, Problem 1SE

6.1-6.4 Directions Determine whether each of the following variables would best be modeled as continuous or discrete.

a. Number of cars passing a certain patrolman during one working day

b. Speed of a car (miles per hour) on a freeway

a.

Expert Solution

To determine

Determine if the number of cars passing a certain patrolman on a working day should be termed as a continuous variable or a discrete variable.

Answer to Problem 1SE

The number of cars passing a certain a patrolman on a working day is a discrete variable.

Explanation of Solution

Discrete variables are the numerical variables that are countable and take a finite value. Continuous variables on the other hand, are not countable at a point but, are measured in a range of values.

In the given case, variable is the number of cars that pass through a certain patrolman during one working day. It can take values such as 1, 2, 5, 10 and so on. Since the number of cars cannot be in decimal form and are countable, it is a discrete variable.

Therefore, the variable ‘Number of cars passing a certain a patrolman during one working day’ is a discrete variable.

b.

Expert Solution

To determine

Determine whether the speed of a car in miles per hour on a freeway should be considered a continuous variable or a discrete variable.

Answer to Problem 1SE

The speed of a car in miles per hour on a freeway is a continuous variable.

Explanation of Solution

As defined above, discrete variables are the numerical variables that is, they are countable and take finite integer value. On the other hand, continuous variables are not countable but are measurable, and are represented as a range of values.

So, the speed of the car measured in miles per hour can take values such as 220 miles per hour, 132.2 miles per hour and so on. Since the variable cannot be counted at a point, but can be measured and take a range of a values, therefore it is called a continuous variable.

Hence, the speed of a car (miles per hour) on a freeway is a continuous variable.

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Answer 3

Textbook Question

Chapter 6, Problem 1SE

6.1-6.4 Directions Determine whether each of the following variables would best be modeled as continuous or discrete.

a. Number of cars passing a certain patrolman during one working day

b. Speed of a car (miles per hour) on a freeway

a.

Expert Solution

To determine

Determine if the number of cars passing a certain patrolman on a working day should be termed as a continuous variable or a discrete variable.

Answer to Problem 1SE

The number of cars passing a certain a patrolman on a working day is a discrete variable.

Explanation of Solution

Discrete variables are the numerical variables that are countable and take a finite value. Continuous variables on the other hand, are not countable at a point but, are measured in a range of values.

In the given case, variable is the number of cars that pass through a certain patrolman during one working day. It can take values such as 1, 2, 5, 10 and so on. Since the number of cars cannot be in decimal form and are countable, it is a discrete variable.

Therefore, the variable ‘Number of cars passing a certain a patrolman during one working day’ is a discrete variable.

b.

Expert Solution

To determine

Determine whether the speed of a car in miles per hour on a freeway should be considered a continuous variable or a discrete variable.

Answer to Problem 1SE

The speed of a car in miles per hour on a freeway is a continuous variable.

Explanation of Solution

As defined above, discrete variables are the numerical variables that is, they are countable and take finite integer value. On the other hand, continuous variables are not countable but are measurable, and are represented as a range of values.

So, the speed of the car measured in miles per hour can take values such as 220 miles per hour, 132.2 miles per hour and so on. Since the variable cannot be counted at a point, but can be measured and take a range of a values, therefore it is called a continuous variable.

Hence, the speed of a car (miles per hour) on a freeway is a continuous variable.

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Answer 4

Textbook Question

Chapter 6, Problem 1SE

6.1-6.4 Directions Determine whether each of the following variables would best be modeled as continuous or discrete.

a. Number of cars passing a certain patrolman during one working day

b. Speed of a car (miles per hour) on a freeway

a.

Expert Solution

To determine

Determine if the number of cars passing a certain patrolman on a working day should be termed as a continuous variable or a discrete variable.

Answer to Problem 1SE

The number of cars passing a certain a patrolman on a working day is a discrete variable.

Explanation of Solution

Discrete variables are the numerical variables that are countable and take a finite value. Continuous variables on the other hand, are not countable at a point but, are measured in a range of values.

In the given case, variable is the number of cars that pass through a certain patrolman during one working day. It can take values such as 1, 2, 5, 10 and so on. Since the number of cars cannot be in decimal form and are countable, it is a discrete variable.

Therefore, the variable ‘Number of cars passing a certain a patrolman during one working day’ is a discrete variable.

b.

Expert Solution

To determine

Determine whether the speed of a car in miles per hour on a freeway should be considered a continuous variable or a discrete variable.

Answer to Problem 1SE

The speed of a car in miles per hour on a freeway is a continuous variable.

Explanation of Solution

As defined above, discrete variables are the numerical variables that is, they are countable and take finite integer value. On the other hand, continuous variables are not countable but are measurable, and are represented as a range of values.

So, the speed of the car measured in miles per hour can take values such as 220 miles per hour, 132.2 miles per hour and so on. Since the variable cannot be counted at a point, but can be measured and take a range of a values, therefore it is called a continuous variable.

Hence, the speed of a car (miles per hour) on a freeway is a continuous variable.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

a.

Expert Solution

To determine

Determine if the number of cars passing a certain patrolman on a working day should be termed as a continuous variable or a discrete variable.

Answer to Problem 1SE

The number of cars passing a certain a patrolman on a working day is a discrete variable.

Explanation of Solution

Discrete variables are the numerical variables that are countable and take a finite value. Continuous variables on the other hand, are not countable at a point but, are measured in a range of values.

In the given case, variable is the number of cars that pass through a certain patrolman during one working day. It can take values such as 1, 2, 5, 10 and so on. Since the number of cars cannot be in decimal form and are countable, it is a discrete variable.

Therefore, the variable ‘Number of cars passing a certain a patrolman during one working day’ is a discrete variable.

b.

Expert Solution

To determine

Determine whether the speed of a car in miles per hour on a freeway should be considered a continuous variable or a discrete variable.

Answer to Problem 1SE

The speed of a car in miles per hour on a freeway is a continuous variable.

Explanation of Solution

As defined above, discrete variables are the numerical variables that is, they are countable and take finite integer value. On the other hand, continuous variables are not countable but are measurable, and are represented as a range of values.

So, the speed of the car measured in miles per hour can take values such as 220 miles per hour, 132.2 miles per hour and so on. Since the variable cannot be counted at a point, but can be measured and take a range of a values, therefore it is called a continuous variable.

Hence, the speed of a car (miles per hour) on a freeway is a continuous variable.

Answer 8

a.

Expert Solution

To determine

Determine if the number of cars passing a certain patrolman on a working day should be termed as a continuous variable or a discrete variable.

Answer to Problem 1SE

The number of cars passing a certain a patrolman on a working day is a discrete variable.

Explanation of Solution

Discrete variables are the numerical variables that are countable and take a finite value. Continuous variables on the other hand, are not countable at a point but, are measured in a range of values.

In the given case, variable is the number of cars that pass through a certain patrolman during one working day. It can take values such as 1, 2, 5, 10 and so on. Since the number of cars cannot be in decimal form and are countable, it is a discrete variable.

Therefore, the variable ‘Number of cars passing a certain a patrolman during one working day’ is a discrete variable.

Answer 9

a.

Expert Solution

Answer 10

a.

Expert Solution

Answer 11

Expert Solution

Answer 12

To determine

Determine if the number of cars passing a certain patrolman on a working day should be termed as a continuous variable or a discrete variable.

Answer 13

Answer to Problem 1SE

The number of cars passing a certain a patrolman on a working day is a discrete variable.

Answer 14

Explanation of Solution

Discrete variables are the numerical variables that are countable and take a finite value. Continuous variables on the other hand, are not countable at a point but, are measured in a range of values.

In the given case, variable is the number of cars that pass through a certain patrolman during one working day. It can take values such as 1, 2, 5, 10 and so on. Since the number of cars cannot be in decimal form and are countable, it is a discrete variable.

Therefore, the variable ‘Number of cars passing a certain a patrolman during one working day’ is a discrete variable.

Answer 15

b.

Expert Solution

To determine

Determine whether the speed of a car in miles per hour on a freeway should be considered a continuous variable or a discrete variable.

Answer to Problem 1SE

The speed of a car in miles per hour on a freeway is a continuous variable.

Explanation of Solution

As defined above, discrete variables are the numerical variables that is, they are countable and take finite integer value. On the other hand, continuous variables are not countable but are measurable, and are represented as a range of values.

So, the speed of the car measured in miles per hour can take values such as 220 miles per hour, 132.2 miles per hour and so on. Since the variable cannot be counted at a point, but can be measured and take a range of a values, therefore it is called a continuous variable.

Hence, the speed of a car (miles per hour) on a freeway is a continuous variable.

Answer 16

b.

Expert Solution

Answer 17

b.

Expert Solution

Answer 18

Expert Solution

Answer 19

To determine

Determine whether the speed of a car in miles per hour on a freeway should be considered a continuous variable or a discrete variable.

Answer 20

Answer to Problem 1SE

The speed of a car in miles per hour on a freeway is a continuous variable.

Answer 21

Explanation of Solution

As defined above, discrete variables are the numerical variables that is, they are countable and take finite integer value. On the other hand, continuous variables are not countable but are measurable, and are represented as a range of values.

So, the speed of the car measured in miles per hour can take values such as 220 miles per hour, 132.2 miles per hour and so on. Since the variable cannot be counted at a point, but can be measured and take a range of a values, therefore it is called a continuous variable.

Hence, the speed of a car (miles per hour) on a freeway is a continuous variable.