Question

58. A shipping company handles containers in three different sizes: (1) 27 (3 × 3 × 3. 125 fr and。) S12 ft Let X 1,2 3) denote the number of type i containers shipped during a given week. With μ,-EX) and -vua suppose that the mean values and standard deviations are as follows: 쎄-200 -10-12- a. Assuming that Xi, Xy, X are independent, calculate the expected value and variance of the total volume shipped. Hint Volume b. Would your calculations necessarily be correct if the Xjs were not independent? Explain. 27x+125x+512X

Answer 1