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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi
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There are 30 restaurants in a certain town. Assume that

Chapter 4, Problem 2E

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QUESTION:

There are 30 restaurants in a certain town. Assume that four of them have health code violations. A health inspector chooses 10 restaurants at random to visit.

a. What is the probability that two of the restaurants with health code violations will be visited?

b. What is the probability that none of the restaurants that are visited will have health code violations?

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QUESTION:

There are 30 restaurants in a certain town. Assume that four of them have health code violations. A health inspector chooses 10 restaurants at random to visit.

a. What is the probability that two of the restaurants with health code violations will be visited?

b. What is the probability that none of the restaurants that are visited will have health code violations?

ANSWER:

Answer :

Step 1 of 3:

Given, a health inspector chooses 10 restaurants at random in a 30 restaurants in a certain town.

We have to assume that four of them have health code violations.

Let X follows Hypergeometric distribution with probability mass function is

P(x) =   

Where, N = 30, n = 10 and k = 4

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