×
Log in to StudySoup
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 61e
Join StudySoup for FREE
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 3 - Problem 61e

Already have an account? Login here
×
Reset your password

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

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 61E Chapter 3

Mathematical Statistics with Applications | 7th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

4 5 1 427 Reviews
31
4
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

Chapter 3, Problem 61E is Solved
Step 3 of 3

Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
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.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

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