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A distribution sometimes used to model the largest item in

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

Solution for problem 21SE Chapter 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 21SE

A distribution sometimes used to model the largest item in a sample is the extreme value distribution. This distribution has cumulative distribution function

Let X be a random variable with this distribution.

a. Find P(X ≤ 0).

b. Find P(X > In 2).

c. Find the median of X.

Step-by-Step Solution:

Solution

Step 1 of 3

Here we have to find the given probabilities by using extreme value distribution

The given cumulative distribution function is

a) by using the given function we have to find

   

   

           

           

            =0.3679


Step 2 of 3

Chapter 4, Problem 21SE is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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A distribution sometimes used to model the largest item in