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Mean and Variance and Error Probability

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Binary data are transmitted over a noisy communications channel in block of 16 binary digits. The probability that a received digit is in error as a result of channel noise is 0.01. Assume that the errors occurring in various digit positions within a block are independent.

(a) Find the mean and the variance of the number of errors per block.
(b) Find the probability that the number of errors per block is greater than or equal to four.

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