Question: 5) Let X. Y be random variables with joint probability density function HI,N) =C. OSISUS5. Find the constant c and P(Y > X + 3).

5) Let X. Y be random variables with joint probability density function HI,N) =C. OSISUS5. Find the constant c and P(Y > X + 3). Hint: Draw a picture. 6) For X. Y as in problem 5) find the marginal densities fx(x) of X and fr(y) of Y. Hint: Draw a picture. Are X, Y independent? Explain your answer. 7) For X, Y as in problem 5) find Cov(X. Y). 8) For X. Y as in problem 5) find P(Y - X

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