Question 6. Suppose the joint pdf of X and Y is f(x,y) = ax^2y for 0...

Question 6. Suppose the joint pdf of X and Y is

f(x,y) =

ax^2y for 0 < x < y 0 < y < 1

0 otherwise

Find a.

Find the correlation between X and Y.

Are X and Y independent? Explain.

Find the conditional variance Var(X||Y = 1)

Solutions

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