1. Math
2. Statistics And Probability
3. let x be the random variable defined by the function...

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?