let x y and z be independent identically distributed random variables with mean 3 and variance 1

Name: let x y and z be independent identically distributed random variables with mean 3 and variance 1 calculate a e2x 3y b var2x 3y c exyz d varxyz e var x y 01144
Uploaded: 2023-05-31T08:00:36-08:00
Duration: 2 min 19 s
Channel: Supreeta N
Description: let x y and z be independent identically distributed random variables with mean 3 and variance 1 calculate a e2x 3y b var2x 3y c exyz d varxyz e var x y 01144

Question

Dominador Tan · Accepted Answer

(a) E(2X + 3Y) = 2E(X) + 3E(Y) = 2(3) + 3(3) = 6 + 9 = 15

Question

Let X, Y, and Z be independent identically distributed random variables with a mean of 3 and variance of 1. Calculate: (a) E(2X + 3Y) (b) Var(2X + 3Y) (c) E(XYZ) (d) Var(XYZ) (e) Var(X - Y)

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