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Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 61e
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 61e

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# Of the volunteers donating blood in a clinic, 80% have the

ISBN: 9780495110811 47

## Solution for problem 61E Chapter 3

Mathematical Statistics with Applications | 7th Edition

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Problem 61E

Problem 61E

Of the volunteers donating blood in a clinic, 80% have the Rhesus (Rh) factor present in their blood.

a If five volunteers are randomly selected, what is the probability that at least one does not have the Rh factor?

b If five volunteers are randomly selected, what is the probability that at most four have the Rh factor?

c What is the smallest number of volunteers who must be selected if we want to be at least 90% certain that we obtain at least five donors with the Rh factor?

Step-by-Step Solution:

Solution :

Step 1 of 3:

Given the Rhesus factor present in their blood is 80%.

Our goal is:

a). We need to find the probability that at least one does not have the Rh factor.

b). We need to find the probability that at most four have the Rh factor.

c). We need to find the smallest number of volunteers who must be selected.

a).

Given if 5 volunteers are selected randomly, then we have to find the probability that at least one does not have the Rh factor.

We know that the probability that volunteer have Rh factor is 0.8.

X is not having Rh factor.

P(X1)=1-P(X<1)

P(X1)=1-P(X=0)

The formula of the binomial distribution is

P(X) = ;

Given n=5, p=0.2

Then,

P(X1)=1-P(X=0)

P(X1)=1-

P(X1)=1-

P(X1)=1-

P(X1)=0.67232

Therefore, the probability that at least one does not have the Rh factor is 0.67232.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780495110811

Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. The full step-by-step solution to problem: 61E from chapter: 3 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. The answer to “Of the volunteers donating blood in a clinic, 80% have the Rhesus (Rh) factor present in their blood.a If five volunteers are randomly selected, what is the probability that at least one does not have the Rh factor?b If five volunteers are randomly selected, what is the probability that at most four have the Rh factor?c What is the smallest number of volunteers who must be selected if we want to be at least 90% certain that we obtain at least five donors with the Rh factor?” is broken down into a number of easy to follow steps, and 87 words. Since the solution to 61E from 3 chapter was answered, more than 521 students have viewed the full step-by-step answer. This full solution covers the following key subjects: volunteers, factor, least, selected, Randomly. This expansive textbook survival guide covers 32 chapters, and 3350 solutions.

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