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A distribution sometimes used to model the largest item in
Chapter 4, Problem 21SE(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 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)
Questions & Answers
QUESTION:
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)
ANSWER:
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