Question: A high-volume printer produces minor print-quality errors on a test pattern of 1000 pages of text according to a Poisson distribution with a mean of

A high-volume printer produces minor print-quality errors on a test pattern of 1000 pages of text according to a Poisson with a mean of 0.4 per page.
(a) Why is the number of errors on each page independent random variables?
(b) What is the mean number of pages with errors (one or more)?
(c) Approximate the probability that more than 350 pages contain errors (one or more).

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