Question: please help 1. (3+4+5=12 points) If X has a binomial distribution with parameters to = 3 and p = 1/ 2. And Y has a

please help

1. (3+4+5=12 points) If X has a binomial distribution with parameters to = 3 and p = 1/ 2. And Y has a geometric distribution with parameter p = 1/ 2 counting the number of trials until success. X and Y are independent. (a) What is E[X + Y]? (3 points) (b) What is Var(X -+- Y)? (4 points) (0) What is IPI'(X + Y = 2|X + Y 2 2)? Simplify your answer in a fraction. (5 points)

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