a and b pllease a. Let X have a continuous distribution on (0, 1) with pdf:fx(x) = 0xº-1where 0 < x < 1, 0 > 0. Let Y = – log X. Find the distribution of Y.b. Let X1,..., X, be independent and identically distributed (i.i.d.) random variables with cdf Fx. Letmax{X1, ..., Xn}. Show that the cdf of Z isFz(t) = [Fx(t)]".

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Answered: where 0 < x < 1, 0 > 0. Let Y =- log X.…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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where 0 < x < 1, 0 > 0. Let Y =- log X. Find the distribution of Y. . Let X1,..., X, be independent and identically distributed (i.i.d.) random variables with cdf Fx. Let Z = max{X1, ..., Xn}. Show that the cdf of Z is Fz(t) = [Fx(t)]".