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  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?
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