= 2. Let X be a standard normal random variable. Define random variables Y 91(X) = 2X +6, and Z = 92(X) = X?. = (2.1) Fi

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= 2. Let X be a standard normal random variable. Define random variables Y 91(X) = 2X +6, and Z = 92(X) = X?. = (2.1) Fi

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2 Let X Be A Standard Normal Random Variable Define Random Variables Y 91 X 2x 6 And Z 92 X X 2 1 Fi 1
2 Let X Be A Standard Normal Random Variable Define Random Variables Y 91 X 2x 6 And Z 92 X X 2 1 Fi 1 (63.55 KiB) Viewed 36 times
= 2. Let X be a standard normal random variable. Define random variables Y 91(X) = 2X +6, and Z = 92(X) = X?. = (2.1) Find the probability density functions of Y and Z, respectively. (2.2) Is E(91(X)) = 91(E(X))? Is E(92(X)) = 92 (E(X))? Justify your answer.
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