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.

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