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Let X and Y be jointly continuous random variables with joint probability density function given by... f ( ) _ 6e'2'_3y for a: > 0

Let X and Y be jointly continuous random variables with joint probability density function given by...

f ( ) _ 6e'2'\"_3y for a: > 0 and y > 0 X'Y 37' y _ 0 otherwise. a. Are X and Y independent? Justify your answer. b. Compute Prob(X 22> Y). e. For any If > U, compute Prob(Y 2)

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