Books from a certain publisher contain misprints. The misprints per page follow a Poisson distribution with an average of 1 misprint per 5 pages. What is the probability that a given page contains at least three misprints? What is the probability that on at least one page in a 300-page book there are three misprints?
Added by Ryan G.
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We know that the average number of misprints per page is 1/5. So, the Poisson parameter (λ) is 1/5. Show more…
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Books from a publisher contain on average one misprint per page. (a) If N is the number of misprints on a page, what is the distribution of N? [2] (b) What is the probability that on at least one page in a 300-page book there will be at least 5 misprints? [3]
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1. Suppose that misprints in a 400-page book occur according to a Poisson scatter, with a rate of 2 misprints per page. (a). Find the approximate probability that there are 60 or more pages with no misprints in the book. (b). A proofreader catches and corrects each misprint with probability 1/2, independently for different misprints. What is the probability that the proofreader catches exactly 2 and misses exactly one misprint on a particular page? (c). Given that the proofreader catches 2 misprints on a page, what is the probability that there was at least one misprint not caught?
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