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(c) Now fix k = 3/4, so that x < 0, 0 < x < 1, + ¼½(x − 1)² 1≤ x < 2, x ≥ 2, and denote by X the random variable with distribution function Fx (x). (i) Explain why the random variable X does not have a density func- tion. (ii) Determine the value of Pr(0 ≤ X < 1). Fx(x) 0 x/2 = 834 1

(c) Now fix k = 3/4, so that x < 0, 0 < x < 1, + ¼½(x − 1)² 1≤ x < 2, x ≥ 2, and denote by X the random variable with distribution function Fx (x). (i) Explain why the random variable X does not have a density func- tion. (ii) Determine the value of Pr(0 ≤ X < 1). Fx(x) 0 x/2 = 834 1

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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(c) Now fix k = 3/4, so that Fx (x) = 0 x/2 1 (x-1)² x < 0, 0 < x < 1, 1≤ x < 2, x > 2, and denote by X the random variable with distribution function Fx (x). (i) Explain why the random variable X does not have a density func- tion. (ii) Determine the value of Pr(0 ≤ X < 1).
Transcribed Image Text:(c) Now fix k = 3/4, so that Fx (x) = 0 x/2 1 (x-1)² x < 0, 0 < x < 1, 1≤ x < 2, x > 2, and denote by X the random variable with distribution function Fx (x). (i) Explain why the random variable X does not have a density func- tion. (ii) Determine the value of Pr(0 ≤ X < 1).
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