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There are 30 restaurants in a certain town. Assume that

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 2E Chapter 4.4

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 2E

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

Step-by-Step Solution:

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

Step 2 of 3:

The claim is to find the probability that two of the restaurants with health code violations will visited.

         We have to find P(x=2)

Then, P(x=2) =  

              =  

             =  

             = 0.312

Hence, the probability that two of the restaurants with health code violations will visited is 0.312

Step 3 of 3

Chapter 4.4, Problem 2E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Since the solution to 2E from 4.4 chapter was answered, more than 1074 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Restaurants, health, violations, code, visited. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “There are 30 restaurants in a certain town. Assume that four of them have health code violations. A health inspector chooses 10 restaurants at fandom 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?” is broken down into a number of easy to follow steps, and 60 words. The full step-by-step solution to problem: 2E from chapter: 4.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

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