If X and Y are random variables with E(X) = 6 and E(Y) = 9,then E(2X + 3Y) is:

A) 39
B) 15
C) 27
D) 12

Random Variables

Variables whose possible values are numerical outcomes of a random phenomenon.

E(X)

The expected value of the random variable X, representing the mean or average value that X takes on.

E(Y)

The expected value of the random variable Y, representing the mean or average outcome of a set of possible values weighted by their probabilities.

Acquire knowledge on the essential concepts and properties pertinent to the sum of variances and expected values.

Verified Answer

Final Answer :

Explanation :

The expectation operator E is linear, so E(2X + 3Y) = 2E(X) + 3E(Y) = 2*6 + 3*9 = 12 + 27 = 39.

Learning Objectives

Acquire knowledge on the essential concepts and properties pertinent to the sum of variances and expected values.