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Let X be a continuous random variable with domain D = [0, 7] and PDF 0 < x < 2, (a) Determine a. 2a

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Let X be a continuous random variable with domain D = [0, 7] and PDF 0 < x < 2, (a) Determine a. 2a 2 < x <5, fx(x) = -ax+7/10 5 x 7, otherwise. (b) Sketch fx(x) on the domain. (c) Give the following: (i) E(X), (ii) The median of X, (iii) Pr(X 5), (iv) Pr(X = 3).

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