Question: Let Y be a Bernoulli random variable with success probability Pr(Y = 1) = p, and failure proba- bility Pr(Y = 0) = 1

Let Y be a Bernoulli random variable with success probability Pr(Y = 1) = p, and failure proba- bility Pr(Y = 0) = 1 p. Let {Y, Y2, Y3} be i.i.d. draws from this distribution (n = 3). Find the sampling distribution of Y := Y+Y2+Y3 3

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