Question: need help with this joint probability and covariance homework question.. thank you! 6. Suppose that the joint pmf 13(95, 3/) of two random variables X

need help with this joint probability and covariance homework question.. thank you!

need help with this joint probability and covariance homework question.. thank you!

6. Suppose that the joint pmf 13(95, 3/) of two random variables X and Y is as follows: 1 0.1 0.1 0.1 y 2 0.1 0.1 0.1 3 0.1 0.1 0.2 (a) (4 points) Find the marginal pmf of X and Y respectively. Do they have the same marginal distribution? Just for this part7 you don't have to 8110\"! work. (b) (3 points) Find P(X = Y). (c) (5 points) What is the conditional pmf of Y given X = 1? (d) (5 points) Find the covariance of X and Y

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