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