Let f(x) = k(3x x 2 ) if 0 x 3 and f(x) =

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Let f(x) = k(3x – x2) if 0 ≤ x ≤ 3 and f(x) = 0 if x < 0 or x > 3.

(a) For what value of k is f a probability density function?

(b) For that value of k, find P(X > 1).

(c) Find the mean.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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