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) eex Let X be a random variable with this distribution a Find P(X 0) b Find P(X ln 2) c Find the median of X ...

a PX 0 F0 e e0 e 1 b PX ln2 1 PX ln2 1 ...

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

Question:

A sometimes used to model the largest item in a sample is the extreme value This has cumulative function
F(x) = e−e−x
Let X be a random variable with this Find P(X ≤ 0).
b. Find P(X > ln 2).
c. Find the median of X.
Distribution
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