4.3 solutions

# 4.3 solutions - Section 4.3 Random Variables SOLUTIONS 1...

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Section 4.3: Random Variables SOLUTIONS 1. Which of the following statements is always true? (If all are always true, select choice d.) a. E(X+Y)=E(X)+E(Y) b. E(XY)=E(X)*E(Y) c. V(X+Y)=V(X)+V(Y) d. All of the above are always true. 2. V(-3)= ____. a. -3 b. 9 c. 0 d. Not possible 3. If Corr (X,Y)=0 then X and Y are independent. a. True b. False – correlation tells about linearity 4. V(X – Y) = V(X) – V(Y) if X and Y are independent. a. True b. False 5. In the notation below, X is the random variable, c is a constant, and V refers to the variance. Which of the following laws of variance is not correct? 6. If X and Y are independent random variables, which of the following identities is/are false? (Circle all that apply)

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