Derive the UMVUE of h(0) = e ke where k = 1, 2, ..., n is a known integer. Hint: Use the interpretation that P(X1 = 0) = et and therefore P(X1 = 0, . . ., Xx = 0) = P(X1 = 0)* = e-ke Also note that T(X) =) Xi ~ Poisson(n0). O n.x humvue - n O humvue k = n O nx humvue 1 k n O kx humvue = 1 - k n O 1 1 nx humvue = K