A shipping company handles containers in three different sizes: (1) 27 ft3 (3 3

Question

A shipping company handles containers in three different sizes: (1) 27 ft3 (3 3 3), (2) 125 ft, and (3) 512 ft3 LetX(-1, 2, 3) denote the number of type i containers shipped during a given week. With -230 1 = 10 2-250 02 = 12 gig-130 os = 8 (a) Assuming that X, X2, X are independent, calculate the expected value and variance of the total volume shipped. LHint: Volume-27x125x512X expected value 97650 variance94901 ft (b) Would your calculations necessarily be correct if the X,'s were not independent? Explain O Doth the expected value and the variance would be correct. The expected value would be correct, but the variance would not be correct. O The expected value would not he correct, but the variance would be correct. O Neither the expected value nor the variance would be correct. Need Help? ReaditTalk to a Tutor

Explanation / Answer

a) Expected value = 27*230+125*250+512*130 = 104020

So, Expected value is 104020

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