Question: 1) Given: F(x) = 8x^-3 , [2,] is a probability density function. Calculate the expected value of x. 2) Find a value K such that

1) Given: F(x) = 8x^-3 , [2,] is a probability density function. Calculate the expected value of x.

2) Find a value K such that F(x) = K |x| , [-1,2] is a probability density function.

Recall g(x) = |x| = { -x, if x<0,

{ x, if x0

I need help solving these problems. Please work out the answers so that I may see how to do them and to allow me to understand it fully. Please and thanks.

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