Let x1 xn be iid having the n s2 distribution with an
Let X1, ..., Xn be i.i.d. having the N(µ, σ2) distribution with an unknown µ ∈ R and a known σ2 > 0.
(a) Find the UMVUE's of µ3 and µ4.
(b) Find the UMVUE's of P(X1 ≤ t) and d/dtP(X1 ≤ t) with a fixed t ∈ R.
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