Problem

A shipping company handles containers in three different sizes: , suppose that the mean...

A shipping company handles containers in three different sizes: , suppose that the mean values and standard deviations are as follows:

a. Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume + 27X1 + 125X2 + 512X3.]

b. Would your calculations necessarily be correct if the Xi’s were not independent? Explain.

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