Colgate-Palmolive, Inc., recently developed a new

Chapter 6, Problem 45E

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QUESTION:

Problem 45E

Colgate-Palmolive, Inc., recently developed a new toothpaste flavored with honey. It tested a group of ten people. Six of the group said they liked the new flavor, and the remaining four indicated they definitely did not. Four of the ten are selected to participate in an in-depth interview. What is the probability that of those selected for the in-depth interview two liked the new flavor and two did not?

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QUESTION:

Problem 45E

Colgate-Palmolive, Inc., recently developed a new toothpaste flavored with honey. It tested a group of ten people. Six of the group said they liked the new flavor, and the remaining four indicated they definitely did not. Four of the ten are selected to participate in an in-depth interview. What is the probability that of those selected for the in-depth interview two liked the new flavor and two did not?

ANSWER:

Solution 45:

Step1 of 2:

Let us consider a random variable ‘X’ it follows a Hypergeometric distribution with parameters ‘N = 10, n=4, k=6, and ’.

We need to find the probability that of those selected for the in-depth interview two liked the new flavor and two did not.


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