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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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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].
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].
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