1. The input to a communication channel is a random variables x and the output is another random variable y. The joint probability mass functions of x and y are listed in the following. Find P{y=1|x=1}, P{x=1|y=1}, and pxy. y=-1 y=0 y=1 x= -1 1/4 0 0 X=0 1/8 1/4 1/8 x = 1 0 0 1/4

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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1. The input to a communication channel is a random variables x and the
output is another random variable y. The joint probability mass functions of
x and y are listed in the following. Find P{y=1|x=1}, P{x=1|y=1}, and p.xy.
y=-1
y=0
y = 1
X = -1
1/4
0
0
X=0
1/8
1/4
1/8]
x = 1
0
0
1/4
Transcribed Image Text:1. The input to a communication channel is a random variables x and the output is another random variable y. The joint probability mass functions of x and y are listed in the following. Find P{y=1|x=1}, P{x=1|y=1}, and p.xy. y=-1 y=0 y = 1 X = -1 1/4 0 0 X=0 1/8 1/4 1/8] x = 1 0 0 1/4
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