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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 70CUR
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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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