Home /
Expert Answers /
Economics /
answer-true-or-false-explain-your-answer-let-x-and-y-be-random-variables-a-the-expectation-of-a-pa535

Answer true or false. Explain your answer.

Let X and Y be random variables.

(a) The expectation of a random variable is the outcome that is
most likely to occur.

(b) If X and Y are independent, then var(X + Y ) = var(X) + var(Y
).

(c) If X and Y are independent, then the value of the conditional
expectation E(Y |x)

is not affected by changes in x.

(d) Zero correlation, corr(X,Y ) = 0, implies that X and Y are
independent.

Let X and Y be random variables (a) The statement is false because The expected value of a discrete random variable is computed as a weighted average of th