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
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![Problem 2) For the following random variable X.
x<-3
Fx (x)=
0
0.4
0.8
1
-3≤x<5
5≤x<7
x≥7
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].](/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.
x<-3
Fx (x)=
0
0.4
0.8
1
-3≤x<5
5≤x<7
x≥7
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].
Expert Solution
Step 1
Farmula used
V(X)=E(X2)-(E(X))2
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