To find out what are n and p , X have a binomial distribution.

Question

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Answer 1

Question

Chapter 12, Problem 12.35E

(a)

To determine

To find out what are n and p , X have a binomial distribution.

(a)

Expert Solution

Answer to Problem 12.35E

n=6 and p=0.75 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution then we have sample size of 6 and the population proportion will be the probability of population being infected, 75% . Thus, we have,

X∼Bin(6,0.75) .

(b)

To determine

To find out what are the possible values that X can take.

(b)

Expert Solution

Answer to Problem 12.35E

S={0,1,2,3,4,5,6} .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the possible values for X will be as:

S={0,1,2,3,4,5,6} as the sample size is six.

(c)

To determine

To find the probability of each value of X and draw a probability histogram of X .

(c)

Expert Solution

Answer to Problem 12.35E

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the probability of each value of X can be calculated by using the binomial excel function:

=BINOM.DIST(numbers, trials, prob, cumulative)

In the cumulative, the FALSE gives the exact value and TRUE gives the less than value.

Thus, the calculation will be as:

X	Exact probability
0	=BINOM.DIST(AJ116,6,0.75,FALSE)
1	=BINOM.DIST(AJ117,6,0.75,FALSE)
2	=BINOM.DIST(AJ118,6,0.75,FALSE)
3	=BINOM.DIST(AJ119,6,0.75,FALSE)
4	=BINOM.DIST(AJ120,6,0.75,FALSE)
5	=BINOM.DIST(AJ121,6,0.75,FALSE)
6	=BINOM.DIST(AJ122,6,0.75,FALSE)

The result will be as:

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Thus, the probability histogram of X will be as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 1

(d)

To determine

To find out what are the mean and standard deviation of this distribution and mark the location of the mean on your histogram.

(d)

Expert Solution

Answer to Problem 12.35E

The mean is 4.5 and the standard deviation is 1.061 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the mean and standard deviation of this distribution will be calculated as:

Mean=np=6×0.75=4.5St. Dev.=npq=6×0.75×(1−0.75)=1.061

Thus, the mean in the histogram is shown as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 2

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Answer 2

Question

Chapter 12, Problem 12.35E

(a)

To determine

To find out what are n and p , X have a binomial distribution.

(a)

Expert Solution

Answer to Problem 12.35E

n=6 and p=0.75 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution then we have sample size of 6 and the population proportion will be the probability of population being infected, 75% . Thus, we have,

X∼Bin(6,0.75) .

(b)

To determine

To find out what are the possible values that X can take.

(b)

Expert Solution

Answer to Problem 12.35E

S={0,1,2,3,4,5,6} .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the possible values for X will be as:

S={0,1,2,3,4,5,6} as the sample size is six.

(c)

To determine

To find the probability of each value of X and draw a probability histogram of X .

(c)

Expert Solution

Answer to Problem 12.35E

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the probability of each value of X can be calculated by using the binomial excel function:

=BINOM.DIST(numbers, trials, prob, cumulative)

In the cumulative, the FALSE gives the exact value and TRUE gives the less than value.

Thus, the calculation will be as:

X	Exact probability
0	=BINOM.DIST(AJ116,6,0.75,FALSE)
1	=BINOM.DIST(AJ117,6,0.75,FALSE)
2	=BINOM.DIST(AJ118,6,0.75,FALSE)
3	=BINOM.DIST(AJ119,6,0.75,FALSE)
4	=BINOM.DIST(AJ120,6,0.75,FALSE)
5	=BINOM.DIST(AJ121,6,0.75,FALSE)
6	=BINOM.DIST(AJ122,6,0.75,FALSE)

The result will be as:

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Thus, the probability histogram of X will be as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 1

(d)

To determine

To find out what are the mean and standard deviation of this distribution and mark the location of the mean on your histogram.

(d)

Expert Solution

Answer to Problem 12.35E

The mean is 4.5 and the standard deviation is 1.061 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the mean and standard deviation of this distribution will be calculated as:

Mean=np=6×0.75=4.5St. Dev.=npq=6×0.75×(1−0.75)=1.061

Thus, the mean in the histogram is shown as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 2

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Answer 3

Question

Chapter 12, Problem 12.35E

(a)

To determine

To find out what are n and p , X have a binomial distribution.

(a)

Expert Solution

Answer to Problem 12.35E

n=6 and p=0.75 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution then we have sample size of 6 and the population proportion will be the probability of population being infected, 75% . Thus, we have,

X∼Bin(6,0.75) .

(b)

To determine

To find out what are the possible values that X can take.

(b)

Expert Solution

Answer to Problem 12.35E

S={0,1,2,3,4,5,6} .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the possible values for X will be as:

S={0,1,2,3,4,5,6} as the sample size is six.

(c)

To determine

To find the probability of each value of X and draw a probability histogram of X .

(c)

Expert Solution

Answer to Problem 12.35E

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the probability of each value of X can be calculated by using the binomial excel function:

=BINOM.DIST(numbers, trials, prob, cumulative)

In the cumulative, the FALSE gives the exact value and TRUE gives the less than value.

Thus, the calculation will be as:

X	Exact probability
0	=BINOM.DIST(AJ116,6,0.75,FALSE)
1	=BINOM.DIST(AJ117,6,0.75,FALSE)
2	=BINOM.DIST(AJ118,6,0.75,FALSE)
3	=BINOM.DIST(AJ119,6,0.75,FALSE)
4	=BINOM.DIST(AJ120,6,0.75,FALSE)
5	=BINOM.DIST(AJ121,6,0.75,FALSE)
6	=BINOM.DIST(AJ122,6,0.75,FALSE)

The result will be as:

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Thus, the probability histogram of X will be as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 1

(d)

To determine

To find out what are the mean and standard deviation of this distribution and mark the location of the mean on your histogram.

(d)

Expert Solution

Answer to Problem 12.35E

The mean is 4.5 and the standard deviation is 1.061 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the mean and standard deviation of this distribution will be calculated as:

Mean=np=6×0.75=4.5St. Dev.=npq=6×0.75×(1−0.75)=1.061

Thus, the mean in the histogram is shown as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 2

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Answer 4

Question

Chapter 12, Problem 12.35E

(a)

To determine

To find out what are n and p , X have a binomial distribution.

(a)

Expert Solution

Answer to Problem 12.35E

n=6 and p=0.75 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution then we have sample size of 6 and the population proportion will be the probability of population being infected, 75% . Thus, we have,

X∼Bin(6,0.75) .

(b)

To determine

To find out what are the possible values that X can take.

(b)

Expert Solution

Answer to Problem 12.35E

S={0,1,2,3,4,5,6} .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the possible values for X will be as:

S={0,1,2,3,4,5,6} as the sample size is six.

(c)

To determine

To find the probability of each value of X and draw a probability histogram of X .

(c)

Expert Solution

Answer to Problem 12.35E

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the probability of each value of X can be calculated by using the binomial excel function:

=BINOM.DIST(numbers, trials, prob, cumulative)

In the cumulative, the FALSE gives the exact value and TRUE gives the less than value.

Thus, the calculation will be as:

X	Exact probability
0	=BINOM.DIST(AJ116,6,0.75,FALSE)
1	=BINOM.DIST(AJ117,6,0.75,FALSE)
2	=BINOM.DIST(AJ118,6,0.75,FALSE)
3	=BINOM.DIST(AJ119,6,0.75,FALSE)
4	=BINOM.DIST(AJ120,6,0.75,FALSE)
5	=BINOM.DIST(AJ121,6,0.75,FALSE)
6	=BINOM.DIST(AJ122,6,0.75,FALSE)

The result will be as:

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Thus, the probability histogram of X will be as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 1

(d)

To determine

To find out what are the mean and standard deviation of this distribution and mark the location of the mean on your histogram.

(d)

Expert Solution

Answer to Problem 12.35E

The mean is 4.5 and the standard deviation is 1.061 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the mean and standard deviation of this distribution will be calculated as:

Mean=np=6×0.75=4.5St. Dev.=npq=6×0.75×(1−0.75)=1.061

Thus, the mean in the histogram is shown as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 2

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Answer 5

Chapter 12, Problem 12.35E

(a)

To determine

To find out what are n and p , X have a binomial distribution.

(a)

Expert Solution

Answer to Problem 12.35E

n=6 and p=0.75 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution then we have sample size of 6 and the population proportion will be the probability of population being infected, 75% . Thus, we have,

X∼Bin(6,0.75) .

(b)

To determine

To find out what are the possible values that X can take.

(b)

Expert Solution

Answer to Problem 12.35E

S={0,1,2,3,4,5,6} .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the possible values for X will be as:

S={0,1,2,3,4,5,6} as the sample size is six.

(c)

To determine

To find the probability of each value of X and draw a probability histogram of X .

(c)

Expert Solution

Answer to Problem 12.35E

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the probability of each value of X can be calculated by using the binomial excel function:

=BINOM.DIST(numbers, trials, prob, cumulative)

In the cumulative, the FALSE gives the exact value and TRUE gives the less than value.

Thus, the calculation will be as:

X	Exact probability
0	=BINOM.DIST(AJ116,6,0.75,FALSE)
1	=BINOM.DIST(AJ117,6,0.75,FALSE)
2	=BINOM.DIST(AJ118,6,0.75,FALSE)
3	=BINOM.DIST(AJ119,6,0.75,FALSE)
4	=BINOM.DIST(AJ120,6,0.75,FALSE)
5	=BINOM.DIST(AJ121,6,0.75,FALSE)
6	=BINOM.DIST(AJ122,6,0.75,FALSE)

The result will be as:

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Thus, the probability histogram of X will be as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 1

(d)

To determine

To find out what are the mean and standard deviation of this distribution and mark the location of the mean on your histogram.

(d)

Expert Solution

Answer to Problem 12.35E

The mean is 4.5 and the standard deviation is 1.061 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the mean and standard deviation of this distribution will be calculated as:

Mean=np=6×0.75=4.5St. Dev.=npq=6×0.75×(1−0.75)=1.061

Thus, the mean in the histogram is shown as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 2

Answer 6

Chapter 12, Problem 12.35E

(a)

To determine

To find out what are n and p , X have a binomial distribution.

(a)

Expert Solution

Answer to Problem 12.35E

n=6 and p=0.75 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution then we have sample size of 6 and the population proportion will be the probability of population being infected, 75% . Thus, we have,

X∼Bin(6,0.75) .

Answer 7

Chapter 12, Problem 12.35E

(a)

To determine

To find out what are n and p , X have a binomial distribution.

Answer 8

(a)

Expert Solution

Answer to Problem 12.35E

n=6 and p=0.75 .

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution then we have sample size of 6 and the population proportion will be the probability of population being infected, 75% . Thus, we have,

X∼Bin(6,0.75) .

Answer 13

(b)

To determine

To find out what are the possible values that X can take.

(b)

Expert Solution

Answer to Problem 12.35E

S={0,1,2,3,4,5,6} .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the possible values for X will be as:

S={0,1,2,3,4,5,6} as the sample size is six.

Answer 14

(b)

To determine

To find out what are the possible values that X can take.

Answer 15

(b)

Expert Solution

Answer to Problem 12.35E

S={0,1,2,3,4,5,6} .

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the possible values for X will be as:

S={0,1,2,3,4,5,6} as the sample size is six.

Answer 20

(c)

To determine

To find the probability of each value of X and draw a probability histogram of X .

(c)

Expert Solution

Answer to Problem 12.35E

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the probability of each value of X can be calculated by using the binomial excel function:

=BINOM.DIST(numbers, trials, prob, cumulative)

In the cumulative, the FALSE gives the exact value and TRUE gives the less than value.

Thus, the calculation will be as:

X	Exact probability
0	=BINOM.DIST(AJ116,6,0.75,FALSE)
1	=BINOM.DIST(AJ117,6,0.75,FALSE)
2	=BINOM.DIST(AJ118,6,0.75,FALSE)
3	=BINOM.DIST(AJ119,6,0.75,FALSE)
4	=BINOM.DIST(AJ120,6,0.75,FALSE)
5	=BINOM.DIST(AJ121,6,0.75,FALSE)
6	=BINOM.DIST(AJ122,6,0.75,FALSE)

The result will be as:

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Thus, the probability histogram of X will be as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 1

Answer 21

(c)

To determine

To find the probability of each value of X and draw a probability histogram of X .

Answer 22

(c)

Expert Solution

Answer to Problem 12.35E

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the probability of each value of X can be calculated by using the binomial excel function:

=BINOM.DIST(numbers, trials, prob, cumulative)

In the cumulative, the FALSE gives the exact value and TRUE gives the less than value.

Thus, the calculation will be as:

X	Exact probability
0	=BINOM.DIST(AJ116,6,0.75,FALSE)
1	=BINOM.DIST(AJ117,6,0.75,FALSE)
2	=BINOM.DIST(AJ118,6,0.75,FALSE)
3	=BINOM.DIST(AJ119,6,0.75,FALSE)
4	=BINOM.DIST(AJ120,6,0.75,FALSE)
5	=BINOM.DIST(AJ121,6,0.75,FALSE)
6	=BINOM.DIST(AJ122,6,0.75,FALSE)

The result will be as:

X	Exact probability
0	0.000244
1	0.004395
2	0.032959
3	0.131836
4	0.296631
5	0.355957
6	0.177979

Thus, the probability histogram of X will be as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 1

Answer 27

(d)

To determine

To find out what are the mean and standard deviation of this distribution and mark the location of the mean on your histogram.

(d)

Expert Solution

Answer to Problem 12.35E

The mean is 4.5 and the standard deviation is 1.061 .

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the mean and standard deviation of this distribution will be calculated as:

Mean=np=6×0.75=4.5St. Dev.=npq=6×0.75×(1−0.75)=1.061

Thus, the mean in the histogram is shown as:

PRACTICE OF STATS - 1 TERM ACCESS CODE, Chapter 12, Problem 12.35E , additional homework tip 2

Answer 28

(d)

To determine

To find out what are the mean and standard deviation of this distribution and mark the location of the mean on your histogram.

Answer 29

(d)

Expert Solution

Answer to Problem 12.35E

The mean is 4.5 and the standard deviation is 1.061 .

Answer 30

(d)

Expert Solution

Answer 31

(d)

Expert Solution

Answer 32

Expert Solution

Answer 33

Explanation of Solution

In the question, it is given that the West African country of Guinea has the highest rate of malaria in the world with 75% of its population being infected. And let X be the count of patients who are infected with malaria among the 6 patients the doctor saw. Thus, we know that X follows binomial distribution with,

X∼Bin(6,0.75)

Thus, the mean and standard deviation of this distribution will be calculated as:

Mean=np=6×0.75=4.5St. Dev.=npq=6×0.75×(1−0.75)=1.061