Question: X1 is a random variable with E(X1) = 2, Var(X1) = 4 and X2 is a random variable with E(X2) = 1, Var(X) = 9.

 X1 is a random variable with E(X1) = 2, Var(X1) =

X1 is a random variable with E(X1) = 2, Var(X1) = 4 and X2 is a random variable with E(X2) = 1, Var(X) = 9. Let Y be a random variable such that Y =.3 X1 and let Z be a random variable such that Z = 2 X2. Let W be a random variable such that W = Y + Z. If X1 and X2 are independent random variables, answer the following questions (Stddev stands for Standard deviation): 1. E(Y)? 2. Var(Y)? 3. Stddev(Y)? 4. E(Z)? 5. Var(Z)? 6. Stddev(Z)? 7. E(W)? 8. Var(W)? 9. Stddev(W)? (to 3 decimals)

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