Question 3 Given the following CDF of X: for for - 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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Question 3
Given the following CDF of X:
F(x) = 0
= 0.2
for
for - 4 < x <-2
for - 2<x < 0
for
for
for
x<-4
= 0.35
= 0.65
0<x< 2
= 0.8
2<x< 4
= 1
x2 4
(a) Find the PMF of X
(b) Find E (X) and Var (X)
(c) Using part (b), find E(2X-3) and Std (2x-3)
Transcribed Image Text:Question 3 Given the following CDF of X: F(x) = 0 = 0.2 for for - 4 < x <-2 for - 2<x < 0 for for for x<-4 = 0.35 = 0.65 0<x< 2 = 0.8 2<x< 4 = 1 x2 4 (a) Find the PMF of X (b) Find E (X) and Var (X) (c) Using part (b), find E(2X-3) and Std (2x-3)
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