Books from a certain publisher contain on average 1 misprint per page. Suppose those misprints occur...

Books from a certain publisher contain on average 1 misprint per page. Suppose those misprints occur according to a Poisson scatter, with a rate on 1 per page. One of the books from this publisher has 200 pages.

(a). What is the probability that there are at least 70 pages in this book with no misprints?

(b). What is the probability that there is at least one page in this book with 5 or more misprints?

(c). Suppose a proofreader goes through this book and catches each misprint with probability 0.7 (independently for different misprints). If the caught misprints are fixed, what is the probability that there are still 60 or more pages containing misprints?

(d). If this proofreader catches 3 misprints on a page, what is the probability that there are still misprints that weren't caught on that page?

Expert Solution

orchestra answered 2 years ago

Assume that books from a certain publisher have an average of one misprint every 20 pages....

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