e 13. The p.d.f. of a continuous random variate X is given by f(x) = kx?(1-x); 0 < x < 1 = 0, elsewhere. constant k, E(X) and var (X). %3D %3D

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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13. The p.d.f. of a continuous random variate X is given by
f(x) = kx2 (1–x); 0 < x < 1
= 0, elsewhere.
Find the constant k, E(X) and var (X).
Transcribed Image Text:13. The p.d.f. of a continuous random variate X is given by f(x) = kx2 (1–x); 0 < x < 1 = 0, elsewhere. Find the constant k, E(X) and var (X).
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