Let f(x) = kx2 (1 x) if 0 < x < 1 and f(x) = 0

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Let f(x) = kx2 (1 – x) if 0 < x < 1 and f(x) = 0 if x < 0 or x > 1.
(a) For what value of k is f a probability density function?
(b) For that value of k, find P(X > ½).
(c) Find the mean.
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Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

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