Question: Question 2. Let X and Y be two continuous random variables with joint pdf 2 for 0 Question 2. Let X and Y be two

Question 2. Let X and Y be two continuous random variables with joint pdf 2 for 0

Question 2. Let X and Y be two continuous random variables with joint pdf -4 :r2y for O < x < C, o (a) Find the value of the constant C such that f is a valid joint pdf. (b) Find the marginal pdfs of X and Y. Interpret the result! What is the covariance between X and Y? (c) Use part (b) to compute the expected value and the standard deviation of X + Y. (d) Compute the probability P(X < Y).

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