Answer :
Probabilities are used to determine the chances of events
The probability that the first erroneous bit is the 28 bit is 0.0076
How to determine the probability
The given parameter is:
p =1% --- the probability that a bit has errors
The probability that the first erroneous bit is the 28 bit means that the first 27 bits do not have errors.
So, we have:
[tex]Pr = (1 - p)^{27} * p[/tex]
The equation becomes
[tex]Pr = (1 - 1\%)^{27} * 1\%[/tex]
Evaluate
[tex]Pr = 0.0076[/tex]
Hence, the probability that the first erroneous bit is the 28 bit is 0.0076
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