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8. (30 points total) Suppose you roll a fair 4 sided die twice. (a) (5 points) What is the PMF py() for the sum of

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8. (30 points total) Suppose you roll a fair 4 sided die twice. (a) (5 points) What is the PMF py() for the sum of the two rolls? (b) (5 points) What is P[Y 5) (c) (5 points) What is PIY >5Y 2 3? (d) (5 points )What is EY? (e) (5 points) What is ElY]? (f) (5 points) What is Var(Y)

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