5. A continuous random variable X has the following cumulative distribution function (cdf). 0, Fx(x) = (x – 1)², 1 3 5.2 Give the probability density function (pdf) of X, fx(x). 5.3 Give the mean of X, E[X]. 5.4 Give the variance of X, Var[X].
5. A continuous random variable X has the following cumulative distribution function (cdf). 0, Fx(x) = (x – 1)², 1 3 5.2 Give the probability density function (pdf) of X, fx(x). 5.3 Give the mean of X, E[X]. 5.4 Give the variance of X, Var[X].
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. A continuous random variable X has the following cumulative distribution function (cdf).
x < 1
Fx(x) = {(x – 1)², 1<x< 3.
x 2 3
0,
1,
5.2 Give the probability density function (pdf) of X, fx (x).
5.3 Give the mean of X, E[X].
5.4 Give the variance of X, Var[X].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1689f61-7720-48d1-a27a-a64ddf4f8d73%2F1e045c43-fbe9-4d90-bf1f-0e7989da6c6d%2F0ogr69h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. A continuous random variable X has the following cumulative distribution function (cdf).
x < 1
Fx(x) = {(x – 1)², 1<x< 3.
x 2 3
0,
1,
5.2 Give the probability density function (pdf) of X, fx (x).
5.3 Give the mean of X, E[X].
5.4 Give the variance of X, Var[X].
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