Question: I already have the final answer, please provide specific steps, thank you! Suppose that X and Y have a joint probability density function given by

I already have the final answer, please provide specific steps, thank you!

Suppose that X and Y have a joint probability density function given by

f X,Y (x,y) =(1/2)e^(-y)

if 0 0, otherwise.

(a) Find the conditional density of X given Y = y.

(b) Are X and Y independent?

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