5. (30 points total) Suppose you roll a fair 4 sided die twice. (a) (5 points) What is the PMF py (y) for the sum of the two rolls? (b) (5 points) What is P[Y > 5] (c) (5 points) What is P[Y > 5|Y > 3]? (d) (5 points )What is E[Y] ? (e) (5 points) What is E[Y2] ? (f) (5 points) What is Var (Y)?

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