Question

SupposeY1,...,Yn is a random sample from a distribution with E(Yj) = 3,Var(Yj) = 4. (a) Compute...

SupposeY1,...,Yn is a random sample from a distribution with E(Yj) = 3,Var(Yj) = 4.

(a) Compute the expected value and variance for Sn = Y1 + · · · + Yn.

(b) Compute the expected value and variance for Y ̄ = 1/n (Y1 + · · · + Yn).

(c) Compute the expected value of Y12 + · · · + Yn2.

show the formulas you are using for each step

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