4. $ X $ is a uniform random variable with limits $[-5, 7]$. Given a condition that $ B = \{ |X| \leq 3 \} $:a. Find the conditional PDF $ f_{X|B}(x) $ and plot both the original and this conditional PDF.b. Find the conditional expected value $ E[X|B] $.c. What is the conditional variance, $ \text{Var}[X|B] $?

X is a uniform random variable with limit [-5,7]

Answered: 4. X is a uniform random variable with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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4. X is a uniform random variable with limits [-5,7]. Given a condition that B={X ≤3} a. Find the conditional PDF fx| (x) and plot both the original and this conditional PDF. b. Find the conditional expected value E[XB]? c. What is the conditional variance, Var[XB].