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Problem 2) For the following random variable X. x<-3 0 0.4 Fx(x)= 0.8 [1 EXIDI -3≤x<5 5≤x<7 x27 a) Find the variance of the X. b) Find PX/B(x), where the condition B = {X>0}. c) Find E[XB]. DY

Problem 2) For the following random variable X. x<-3 0 0.4 Fx(x)= 0.8 [1 EXIDI -3≤x<5 5≤x<7 x27 a) Find the variance of the X. b) Find PX/B(x), where the condition B = {X>0}. c) Find E[XB]. DY

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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**Problem 2)** For the following random variable \(X\). \[ F_X(x) = \begin{cases} 0 & x < -3 \\ 0.4 & -3 \le x < 5 \\ 0.8 & 5 \le x < 7 \\ 1 & x \ge 7 \end{cases} \] a) Find the variance of \(X\). b) Find \(P_{X|B}(x)\), where the condition \(B = \{X > 0\}\). c) Find \(E[X|B]\). d) Find \(\text{Var}[X|B]\).
Transcribed Image Text:**Problem 2)** For the following random variable \(X\). \[ F_X(x) = \begin{cases} 0 & x < -3 \\ 0.4 & -3 \le x < 5 \\ 0.8 & 5 \le x < 7 \\ 1 & x \ge 7 \end{cases} \] a) Find the variance of \(X\). b) Find \(P_{X|B}(x)\), where the condition \(B = \{X > 0\}\). c) Find \(E[X|B]\). d) Find \(\text{Var}[X|B]\).
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