Question: Errors are known to occur in a digitized message in a communications channel; the probability an individual bit is incorrectly transmitted is 0.001 and the

Errors are known to occur in a digitized message in a communications channel; the probability an individual bit is incorrectly transmitted is 0.001 and the errors are assumed to be independent.

(a) Find the probability that at most 2 errors occur in a sequence of 10 bits.

(b) Find the mean and variance of the number of errors.

(c) Find the probability of at most 2 errors in a message of 10,000 bits.

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