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1. Let X be a continuous random variable with the following probability density function: f(x) = { ce-4x 0. x ≥0 elsewhere where c is a positive constant. (a) Find c. (b) Find the cumulative distribution function of X (c) Find Pr(2 < x < 5). (d) Find E(X).

1. Let X be a continuous random variable with the following probability density function: f(x) = { ce-4x 0. x ≥0 elsewhere where c is a positive constant. (a) Find c. (b) Find the cumulative distribution function of X (c) Find Pr(2 < x < 5). (d) Find E(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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1. Let X be a continuous random variable with the following probability density function: f(x) = { ce-4x 0. x ≥0 elsewhere where c is a positive constant. (a) Find c. (b) Find the cumulative distribution function of X (c) Find Pr(2 < x < 5). (d) Find E(X).
Transcribed Image Text:1. Let X be a continuous random variable with the following probability density function: f(x) = { ce-4x 0. x ≥0 elsewhere where c is a positive constant. (a) Find c. (b) Find the cumulative distribution function of X (c) Find Pr(2 < x < 5). (d) Find E(X).
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