The taste test for PTC (phenylthiocarbamide) is a favorite

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

ISBN: 9780495110811 47

Solution for problem 52E Chapter 3

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition

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Problem 52E

The taste test for PTC (phenylthiocarbamide) is a favorite exercise in beginning human genetics classes. It has been established that a single gene determines whether or not an individual is a “taster.” If 70% of Americans are “tasters” and 20 Americans are randomly selected, what is the probability that

a at least 17 are “tasters”?

b fewer than 15 are “tasters”?

Step-by-Step Solution:

Solution:

Step 1 of 3:

Given,in a sample of 20 Americans, 70% of Americans are “tasters” .

Here, n = 20 and p = 0.70

We can use the Binomial distribution

Let X follows the Binomial distribution with probability mass function

P(X) = (, where, x = 0,1,2….,n

Step 2 of 3

Chapter 3, Problem 52E is Solved

Step 3 of 3

Textbook: Mathematical Statistics with Applications

Edition: 7

Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

ISBN: 9780495110811

Since the solution to 52E from 3 chapter was answered, more than 1198 students have viewed the full step-by-step answer. 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. This full solution covers the following key subjects: tasters, Americans, phenylthiocarbamide, individual, determines. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. The full step-by-step solution to problem: 52E from chapter: 3 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. The answer to “The taste test for PTC (phenylthiocarbamide) is a favorite exercise in beginning human genetics classes. It has been established that a single gene determines whether or not an individual is a “taster.” If 70% of Americans are “tasters” and 20 Americans are randomly selected, what is the probability thata at least 17 are “tasters”?b fewer than 15 are “tasters”?” is broken down into a number of easy to follow steps, and 59 words.