Question: Errors caused by contamination on optical disks occur at the rate of one error every 105 bits. Assume the errors follow a Poisson distribution. (a)

Errors caused by contamination on optical disks occur at the rate of one error every 105 bits. Assume the errors follow a Poisson distribution.
(a) What is the mean number of bits until five errors occur?
(b) What is the standard deviation of the number of bits until five errors occur?
(c) The error-correcting code might be ineffective if there are three or more errors within bits. What is the probability of this event?

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