A 5hipping company handles containers in three different sizes: (1) 27 ft3 (3 x

Question

A 5hipping company handles containers in three different sizes: (1) 27 ft3 (3 x 3 x 3), (2) 125 ft3, and (3) 512 ft3, Let x, ( p4 = E(A) and ,2-V(X), suppose that the mean values and standard deviations are as follows 1, 2, 3) denote the number of type i containers shipped during a given week, with -200 2-250 ,-120 (a) Assuming that X, X2, Xs are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volume- 27x1125x2512x expected value variance tt2 (b) Would your calculations necessarily be correct if the Xs were not independent? Explain. The expected value would be correct, but the variance would not he correct Both the expected value and the variance would be correct Neither the expected value nor the variance would be correct. Ihe expected value would not be correct, but the variance would be correct. Need Help? Read It Talk to a Tutor

Explanation / Answer

expected value =27*200+125*250+512*120 =98090

variance =(27*9)2+(125*12)2+(512*8)2 =19086265

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