Let R. and S be independent random variables chosen from the same distribution with range {1,2,3} and the probability mass function P(1) = P(2) = P(3) = Fill in the table of the joint probability mass function of R. and S. R = 1 R = 2 R=3 S = 1 S 2 S = 3 Find the range and the probability mass function of R+ S. Find Pr[R = 2|R>S].

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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Let R. and S be independent random variables chosen from the same distribution with range {1,2,3}
and the probability mass function P(1) = 1, P(2)=P(3) = 1.
Fill in the table of the joint probability mass function of R. and S.
|S=1 S=2 S = 3
R = 1
R = 2
R = 3
Find the range and the probability mass function of R+ S.
Find Pr[R = 2 | R>S].
Transcribed Image Text:Let R. and S be independent random variables chosen from the same distribution with range {1,2,3} and the probability mass function P(1) = 1, P(2)=P(3) = 1. Fill in the table of the joint probability mass function of R. and S. |S=1 S=2 S = 3 R = 1 R = 2 R = 3 Find the range and the probability mass function of R+ S. Find Pr[R = 2 | R>S].
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