Let X be a discrete random variable with probability mass function given by 1/4 x = 0 1/2 1/8 1/8 1 p(x) = 2 3 a. Find the pmf of Y = X – 1. b. Find the pmf of U = X². c. Find the pmf of V = (X – 1)2. || || || | 8 8 8

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let X be a discrete random variable with probability mass function given by
1/4 x = 0
1/2 x
1/8
1/8
1
p(x) =
2
: 3
a. Find the pmf of Y = X – 1.
b. Find the pmf of U = X².
c. Find the pmf of V = (X – 1)2.
||
Transcribed Image Text:Let X be a discrete random variable with probability mass function given by 1/4 x = 0 1/2 x 1/8 1/8 1 p(x) = 2 : 3 a. Find the pmf of Y = X – 1. b. Find the pmf of U = X². c. Find the pmf of V = (X – 1)2. ||
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