If the receiver of the message uses"majority" decoding, what is the probability that the message will beincorrectly decoded?   B. What independence assumptions are you making? (By majority decoding we mean that themessage is decoded as "0" if there are at least three zeros in the message received and as "1"otherwise.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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8.A communications channel transmits the digits 0 and 1. However, due
to static, the digittransmitted is incorrectly received with probability
0.2. Suppose that we want to transmitan important message consisting
of one binary digit. To reduce the chance of error, wetransmit 00000
instead of 0 and 11111 instead of 1.
 
A. If the receiver of the message uses"majority" decoding, what is the
probability that the message will beincorrectly decoded?
 
B. What independence assumptions are you making? (By majority
decoding we mean that themessage is decoded as "0" if there are at
least three zeros in the message received and as "1"otherwise.)
 
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