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Let X be a random variable with pdf given by f(x) = 2x for 0 < æ <1 and f(x) = 0 otherwise. %3D a. Find P(X > 1/2). b. Find P(X > 1/2|X > 1/4).

Let X be a random variable with pdf given by f(x) = 2x for 0 < æ <1 and f(x) = 0 otherwise. %3D a. Find P(X > 1/2). b. Find P(X > 1/2|X > 1/4).

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 random variable with pdf given by \( f(x) = 2x \) for \( 0 \leq x \leq 1 \) and \( f(x) = 0 \) otherwise. a. Find \( P(X \geq 1/2) \). b. Find \( P(X \geq 1/2 \mid X \geq 1/4) \).
Transcribed Image Text:Let \( X \) be a random variable with pdf given by \( f(x) = 2x \) for \( 0 \leq x \leq 1 \) and \( f(x) = 0 \) otherwise. a. Find \( P(X \geq 1/2) \). b. Find \( P(X \geq 1/2 \mid X \geq 1/4) \).
Expert Solution
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The given pdf is fx=2x for 0≤x≤1 and fx=0 otherwise.

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