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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4 - Problem 21se
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4 - Problem 21se

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# A distribution sometimes used to model the largest item in

ISBN: 9780073401331 38

## Solution for problem 21SE Chapter 4

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

$$F(x)=e^{-e^{-x}}$$

Let X be a random variable with this distributor

a. Find $$P(X \leq 0)$$.

b. Find $$P(X>\ln 2)$$.

c. Find the median of X.

Equation Transcription:

Text Transcription:

F(x) = e^-e^-x

P(X less than or equal to 0)

P(X greater than ln 2)

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

Step 3 of 3

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