Q: Let X be a random variable with pdf given by f (X) = 2x for 0 < x<1 and 0 otherwise. a. Find P(X > 1/2) b. Find P(X > 1/2|X > 1/4).
Q: Let X be a random variable with pdf given by f (X) = 2x for 0 < x<1 and 0 otherwise. a. Find P(X > 1/2) b. Find P(X > 1/2|X > 1/4).
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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Section: Probabilty Density Functions

Transcribed Image Text:**Question:** Let \( X \) be a random variable with the probability density function (pdf) given by \( f(X) = 2x \) for \( 0 \le x \le 1 \) and 0 otherwise.
**a.** Find \( P(X \ge 1/2) \).
**b.** Find \( P(X \ge 1/2 | X \ge 1/4) \).
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