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Let X be a continuous random variable with probability density functic (PDF) given by f(x) = {cx? Ix| s1 otherwise 1) What criteria must f(x) satisfy to be a valid PDF? Find the constant c. 2) Find the cumulative function F(x).

Let X be a continuous random variable with probability density functic (PDF) given by f(x) = {cx? Ix| s1 otherwise 1) What criteria must f(x) satisfy to be a valid PDF? Find the constant c. 2) Find the cumulative function F(x).

MATLAB: An Introduction with Applications
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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Let X be a continuous random variable with probability density function (PDF) given by {cx? Ix| s1 otherwise f(x) = 1) What criteria must f(x) satisfy to be a valid PDF? Find the constant c. 2) Find the cumulative function F(x).
Transcribed Image Text:Let X be a continuous random variable with probability density function (PDF) given by {cx? Ix| s1 otherwise f(x) = 1) What criteria must f(x) satisfy to be a valid PDF? Find the constant c. 2) Find the cumulative function F(x).
3) Find the expected value E(X). 3 4) Find the variance V(X).
Transcribed Image Text:3) Find the expected value E(X). 3 4) Find the variance V(X).
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