i) probability density (p.d a.) f(x) = {kx(1 - x²) Show that the value of k must be
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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5.
Transcribed Image Text:The probability density function (p.d.f) of the random variable X is given by
i)
ii)
iii)
f(x) = {kx(1-x²)
Show that the value of k must be 4 so that f(x) is p.d.f.
Calculate P (0 < X < ¹).
Find the values of A so that P(0 < X <A) =1/
0≤x≤1
otherwise
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