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Determine the cumulative distribution function | Ch 3.3 - 44E

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

Solution for problem 44E Chapter 3.3

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 44E

Problem 44E

Determine the cumulative distribution function for the random variable in Exercise 3-22.

3-22. Consider the hospital patients in Example 2-8. Two patients are selected randomly, with replacement, from the total patients at Hospital 1. What is the probability mass function of the number of patients in the sample who are admitted?

Step-by-Step Solution:

Solution

Step 1 of 2

We have to find cumulative distribution function for the random variable X

The probability of a patient admitted in the hospital

                                                                                        =0.2413

                                                                      Then

                                                                                       =0.7587

Let X be the no.of patients admitted in the hospital

Now

                          =

                          =0.5756

Now

                          =(0.2413)+(0.2413)(0.7587)

                          =0.1831+0.1831

                          =0.3662

Now

                         =(0.2413)(0.2413)

                         =0.0582


Step 2 of 2

Chapter 3.3, Problem 44E is Solved
Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

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Determine the cumulative distribution function | Ch 3.3 - 44E