# Question: let x be the random variable defined by the function...

###### Question details

Let x be the random variable defined by the function:

F(x)= {k/x^3 2<x<infinity

0 otherwise

What is the value of k?

Calculate P(X<4) and P(X<4|X>3)

What is the expected value of X?

What is the value of F(4) where F represents the distribution
function of X?