The random variables X and Y have joint PDF given by: f(x, y) =(1/(10)), (x,y)∈[-1,1] ×[-2, 2] ∪ [1, 2] ×[-1,1] (a) Find the conditional PDFs f(y\x) and f(x\y) (b) Find E[X\Y ], E[X] and var(X\Y ). Use these to calculate var(X).
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