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##### SIEO 4150 - Homework 4 Assignment

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**Question**

Question;1. A company makes boxes of various sizes as follows: The length (L) is a rv withprobability mass function P (L = 2) = 0.3, P (L = 4) = 0.7. The width (W) isa rv with probability mass function P (W = 3) = 0.3, P (W = 4) = 0.4, P (W =5) = 0.3. The height (H) is a rv with probability mass function P (H = 2) =1/3, P (H = 3) = 1/3, P (H = 4) = 1/3. Assume that these random variables areindependent.(a) Find E(W) and V ar(W).(b) What is the expected value of the volume of a box?(c) What is the variance of the volume of the box?2. Consider a probability density function for the vector (X, Y) given byf (x, y) =e?x00? y? x

Paper#61747 | Written in 18-Jul-2015

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