A fair red die and a fair blue die are rolled Let X be the r

A fair red die and a fair blue die are rolled. Let X be the random variable for the numberon the red die and Y be the random variable for the number on the blue die. EvaluateE((2X+3Y)).

Answer:

By linearity of expectation E((2X+3Y)) = E(2X) + E(3Y) = 2E(X) + 3E(Y) = 2*3.5 + 3*3.5 = 17.5 (X = Y = 3.5 can be obtained by using definition of expected value.)