Let x1 xn be iid binary random variables with pxi 1 p 0
Let X1, ..., Xn be i.i.d. binary random variables with P(Xi = 1) = p ∈ (0, 1).
(a) Find the UMVUE of pm, m ≤ n.
(b) Find the UMVUE of P(X1 + · · · + Xm = k), where m and k are positive integers ≤ n.
(c) Find the UMVUE of P(X1 + · · · + Xn-1 > Xn).
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