and if a 1 is transmitted, the probability of it being received in error is 0.1. If the output of the channel is 1, what is the probability that the input of the channel was 1?

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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In a binary communication system, the input bits transmitted over the channel are either 0 or 1 with
the probabilities 0.3 and 0.7. If a 0 is transmitted, the probability of it being received in error is 0.01,
and if a 1 is transmitted, the probability of it being received in error is 0.1. If the output of the channel
is 1, what is the probability that the input of the channel was 1?
0.91
01
O 0.995
O 0.985
Transcribed Image Text:In a binary communication system, the input bits transmitted over the channel are either 0 or 1 with the probabilities 0.3 and 0.7. If a 0 is transmitted, the probability of it being received in error is 0.01, and if a 1 is transmitted, the probability of it being received in error is 0.1. If the output of the channel is 1, what is the probability that the input of the channel was 1? 0.91 01 O 0.995 O 0.985
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