14. Let X be a discrete random variable with the following PMF 1 for k = -2 4 1 for k = -1 Px (k) 1 for k = 0 8 1 for k = 1 4 1 for k = 2 Define a new random variable Y as y = (x+ 1)² a. Find the range of Y b. Find the PMF of Y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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14. Let X be a discrete random variable with the following PMF
1
for k =
= -2
4
1
for k = -1
Px (k)
=
for k = 0
8
1
for k = 1
4
1
for k = 2
Define a new random variable Y as y = (x+ 1)²
a. Find the range of Y
b. Find the PMF of Y
Transcribed Image Text:14. Let X be a discrete random variable with the following PMF 1 for k = = -2 4 1 for k = -1 Px (k) = for k = 0 8 1 for k = 1 4 1 for k = 2 Define a new random variable Y as y = (x+ 1)² a. Find the range of Y b. Find the PMF of Y
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