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Solved: Consider the visits that result in leave without

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger ISBN: 9781118539712 55

Solution for problem 151E Chapter 3.8

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 151E

Consider the visits that result in leave without being seen (LWBS) at an emergency department in Example 2-8. Assume that four visits that result in LWBS are to be randomly selected (without replacement) for a follow-up interview.

(a) What is the probability that all selected visits are from hospital 4?

(b) What is the probability that no selected visits are from hospital 4?

(c) What is the probability that all selected visits are from the same hospital?

Step-by-Step Solution:

Step 1 of 3</p>

Given that no.of visits in LWBS=N=953

In Hospital 4 no.of visits=k=242

No.of randomly selected visits=n=4

Let X be the no.of visits in hospital 4

Here X is following hypergeometric distribution

The pmf of hypergeometric distribution is

a) We have to find the probability of all selected visits from hospital 4

Now we have to find

                                                   =0.0041

Hence the probability of all selected visits from hospital 4 is 0.0041

Step 2 of 3</p>

b) We have to find the probability of no visits from hospital 4

Now we have to find

                                                   =0.3092

Hence the probability of no visits from hospital 4 is 0.3092

Step 3 of 3

Chapter 3.8, Problem 151E is Solved
Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

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Solved: Consider the visits that result in leave without

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