A shipping company handles containers in three different sizes: (1)27 ft3 (3 X 3 X 3), (2) 125 W, and (3) 512 R3. . suppose that the mean values and standard deviations are as follows: #4; = E(Xi) a. Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint Volume + 27x1 + 125X2 + 512xs-l b. Would your calculations necessarily be correct if the Xi's were not independent? Explain