A distribution sometimes used to model the largest item in a sample is the extreme value

Chapter 4, Problem 21

(choose chapter or problem)

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 distribution.

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 \leq 0)

P(X>\ln 2)

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