1-6. Referring to (1-6), consider a communication system with the following values for the dif-ferent probabilities:P(Y = 0LX = 0) = 0.7 P(Y = 0LX = 1) = 0.1P(Y = 1|X = 0) = 0.3 P(Y = 1|X = 1) = 0.9P(X = 0) = 0.4; P(X = 1) = 0.6(a) Find the probabilities P(Y = 0) and P(Y = 1) at the channel output.(b) Find the probability that a 1 was sent given that a 1 was received.(c) What is the probability that a 0 was sent given that a 1 was received?

a) The probability P(Y=0): PY=0=PY=0|X=0PX=0+PY=0|X=1PX=1 =0.7*0.4+0.1*0.6…

Answered: -6. Referring to (1–6), consider a…

A First Course in Probability (10th Edition)

10th Edition

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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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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A sample is selected from one of two populations, S, and S₂, with P(S₁) = 0.6 and P(S₂) = 0.4. The probabilities that an event A occurs, given that event S, or S₂ has occurred are P(A|S₂) = = 0.4 and P(AIS₂) = 0.3 and the probability of event A is P(A) = 0.36. Use Bayes' Rule to find P(S, IA). (Round your answer to four decimal places.)
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-6. Referring to (1–6), consider a communication system with the following values fom ferent probabilities: P(Y = 0LX = 0) = 0.7 P(Y = 0LX = 1) = 0.1 P(Y = 1X = 0) = 0.3 P(Y = 1X = 1) = 0.9 P(X = 0) = 0.4; P(X = 1) = 0.6 (a) Find the probabilities P(Y = 0) and P(Y = 1) at the channel output.