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SDS 321 Homework 11 1. Suppose the random variable Y has PDF fy(y) = 3y when 0 1. 2. 3. 4. SDS 321 Homework 11

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SDS 321 Homework 11 1. Suppose the random variable Y has PDF fy(y) = 3y when 0

1. 2. 3. 4. SDS 321 Homework 11 Suppose the random variable Y has PDF fy(y) = 3y2 when O < y < 1, and zero otherwise. We want to find the PDF ofU = 2Y+3. (a) Find the CDF of U, and use it to find the PDF of U. (b) Find the PDF of U using a short-cut formula. Let X be a continuous random variable with PDF. Let Y 4X3 fx(x) = o O

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