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
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 \(\text{Var}[X|B]\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe36fb7f7-6381-4add-b52b-9085dfd27844%2Fa2c31df3-c4cb-4d27-9f25-b03df852f8d9%2F8vyvjdo_processed.jpeg&w=3840&q=75)
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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