If X1 X2 and X3 are independent random variables with 112 20

If X_1, X_2, and X₃ are independent random variables with ₁=1.2, ₂=0.8, ₃=0.5, ₁=1, ₂=0.25, ₃=2.2, and Y=2.5X₁-0.5X₂+1.5X₃, determine the following:

a) E(Y)

b) V(Y)

c) E(-3Y)

d) V(-3Y)

Solution