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6. (23pts) An instr given a short quiz consisting of two parts. For a randomly selected student, let X-the number of points earned on the first part and Y-the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table p(x.y) 10 0.06 0.150.11 0.08 0.28 0.32 0 6.1. (1pt) What is P(X-5 and Y-10)? 6.2. (2pts) Compute PXs5 and Ys5)? 6.3. (2pts) Compute the marginal pmf of X (P.(x) 6.4. (4pts) Using the P.(x), compute E(X) and V(x) 6.5. (2pts) Compute the marginal pmf of Y (P.(y)) 6.6. (4pts) Using the P.(y), compute E(Y and V(Y) 6.7. (4pts) Compute the covariance for X and Y. 6.8. (4pts) Compute the correlation coefficient (o) for this X and Y

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