A continuous random variable X has the probability density function0,hx - h,3h-hx,0,which can be graphed asf(x)hf(x) =x < 11≤x≤22≤ x ≤ 3x > 32 3X(a) Find h which makes f(x) a valid probability density function.(b) Find the cumulative distribution function F(x).

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Answered: A continuous random variable X has the…

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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A continuous random variable X has the probability density function 0, hx - h, 3h-hx, 0, which can be graphed as f(x) h f(x) = x < 1 1≤x≤2 2≤ x ≤ 3 x > 3 2 3 X (a) Find h which makes f(x) a valid probability density function. (b) Find the cumulative distribution function F(x).