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Hi there. I am having trouble with this question. Can you help me? Problem 1: Derived Distributions (30 points) For this parts 1 3.5 2,

Hi there. I am having trouble with this question. Can you help me?

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Problem 1: Derived Distributions (30 points) For this parts 1 3.5 2, choose 3 / 5 problems [a-e) to submit for credit. Please submit only the 3 you choose. 1. Find the PDF's of the following in terms of the PDF of X ( (b l l (C) ) l 9-3 (d n|X| (e Y = X2 2. For your answers in part 1, rewrite each expression using a specic X : o For (a) 85 ((1) use X N Uniform(-1, 1) o For (1)) the PDF of X is given as: $7)? on the interval [0, W] o For (c) 8.5 (e) X is distributed uniformly on the interval [0,1] 3. Let 'W N Uniform[0,1] and Q N Uniform[0,2] such that Q and W? are independent. Find a distribution for M = 1nin{Q,W}

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