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Problem 2: Derived distributions and convolutions Let W, X ~ Uniform [0, 1] such that W and X are independent Remember: When trying to find

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Problem 2: Derived distributions and convolutions Let W, X ~ Uniform [0, 1] such that W and X are independent Remember: When trying to find derived distributions, find the CDF and then take the deriva- tive. (i) Let T = X + W. Find the distribution for T. (ii) Now let Q ~ Uniform [0, 2]. Find a distribution for M = min {Q, W}. (iii) Let Y = X2 and Z = VW. Find the distribution for Y and Z

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