A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question

The PDF of a continuous r.v. X is given by
fX(x) = a + bx2 if 0 ≤ x ≤ 1
            0 otherwise.
What values of a and b make this a valid PDF and at the same time, make E(X) = 2/3?

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