In communications of various kinds, a sent message may not be received correctly because the communications channel is “noisy.” In particular, a bit transmitted might be changed with Probability P. One method of coping with this problem is to send the bit five times. Then use the majority of these five received bits as the intended message. Under this scheme, what is the probability that the message is received correctly?

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 communications of various kinds, a sent message may not be received correctly because the communications channel is “noisy.” In particular, a bit transmitted might be changed with Probability P. One method of coping with this problem is to send the bit five times. Then use the majority of these five received bits as the intended message. Under this scheme, what is the probability that the message is received correctly?

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