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1. Let X be a point randomly selected from the unit interval [0, 1]. Consider the random variable Y = (1-X)-1/2. (a) Sketch Y as

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1. Let X be a point randomly selected from the unit interval [0, 1]. Consider the random variable Y = (1-X)-1/2. (a) Sketch Y as a function of X. (b) Find and plot the cdf of Y. (c) Derive the pdf of Y. (d) Compute the following probabilities: P(Y > 1), P(3

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