Question: X and Y are independent, normal random variables with E(X) = 2, V (X) = 5, E(Y ) = 6, and V (Y ) =

X and Y are independent, normal random variables with E(X) = 2, V (X) = 5, E(Y ) = 6, and V (Y ) = 8.

Determine the following:

(a) E(3X + 2Y ) 

(b) V (3X + 2Y )

(c) P(3X + 2Y <18) 

(d) P(3X + 2Y <28)

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