Suppose one has a binary asymmetric channel K : S → R representedbyand1Prs(r|1) = 2 (r = 1) + (r = 0)212Pas (10) = (r = 1) + (r = 0)33(a) Represent PRIS(rs) in a table.(b) Use the assumption, that1Ps(0) and Ps(1)3==12|31/32/31/21/2to compute PS,R(s,r).(c) What are PR(r), and PSR(s|r) for all r, s = {0, 1}?(d) What are the maximum likelihood and maximum a posteriori de-cisions for r = 1?

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Suppose one has a binary asymmetric channel K: S→ R represented by and Pris(r|1)-(-1)+(-0) = = = 1/3 2/3 1/2

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Suppose one has a binary asymmetric channel K : S → R represented
by
and
1
Prs(r|1) = 2 (r = 1) + (r = 0)
2
1
2
Pas (10) = (r = 1) + (r = 0)
3
3
(a) Represent PRIS(rs) in a table.
(b) Use the assumption, that
1
Ps(0) and Ps(1)
3
=
=
1
2|3
1/3
2/3
1/2
1/2
to compute PS,R(s,r).
(c) What are PR(r), and PSR(s|r) for all r, s = {0, 1}?
(d) What are the maximum likelihood and maximum a posteriori de-
cisions for r = 1?

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Follow-up Questions

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Follow-up Question

I very sorry but I think on a you are wrong as the sum of the should be 1. I was expecting the below

Representation of PR|Sr|s in a table form:

r\|s	0	1
0	2/3	1/3
1	1/2	1/2

You don't need to compte, I was able to do it.

Let me know if you are able to give me a answer to question d, of if you still would like me to send a new quetion

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