Question: LetW Bin(N, p) and for i = 1, . . . ,N take independent yis that are Bin(1, p). Argue thatW has the same

LetW ∼ Bin(N, p) and for i = 1, . . . ,N take independent yis that are Bin(1, p).

Argue thatW has the same distribution as y1+· · ·+yN. Use this fact, along with Exercise 1.6.1 and Proposition 1.2.11, to find E(W) and Var(W).

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