Problem 2) For the following random variable X. x < -3 -3≤x<5 5≤x<7 x27 Fx(x) = { 0 0.4 0.8 a) Find the variance of the X. b) Find PX/B(x), where the condition B = {X>0}. c) Find E[X|B]. d) Find Var[X|B].
Problem 2) For the following random variable X. x < -3 -3≤x<5 5≤x<7 x27 Fx(x) = { 0 0.4 0.8 a) Find the variance of the X. b) Find PX/B(x), where the condition B = {X>0}. c) Find E[X|B]. d) Find Var[X|B].
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
I need D
![**Problem 2:** For the following random variable \( X \).
\[ F_X(x) =
\begin{cases}
0 & \text{if } x < -3 \\
0.4 & \text{if } -3 \leq x < 5 \\
0.8 & \text{if } 5 \leq x < 7 \\
1 & \text{if } x \geq 7
\end{cases}
\]
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%2F59cb9516-95ad-4702-b399-f62a6430ed4d%2Fvurswqe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 2:** For the following random variable \( X \).
\[ F_X(x) =
\begin{cases}
0 & \text{if } x < -3 \\
0.4 & \text{if } -3 \leq x < 5 \\
0.8 & \text{if } 5 \leq x < 7 \\
1 & \text{if } x \geq 7
\end{cases}
\]
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 \( \text{Var}[X|B] \).
Expert Solution
Step 1
Farmula used
V(X)=E(X2)-(E(X))2
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman