Solution Found!
The taste test for PTC (phenylthiocarbamide) is a favorite
Chapter 3, Problem 52E(choose chapter or problem)
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”?
Questions & Answers
QUESTION:
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”?
ANSWER:
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