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 Belinda B.
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Step 1: Calculate the probability that a given page contains at least three misprints using the Poisson distribution formula. 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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If a publisher of nontechnical books takes gains to ensure that its books are free of typographical errors, so that the probability of any given page containing at least one such error is .005 and errors are independent from page to page, what is the probability that one of its 400 -page novels will contain exactly one page with errors? At most three pages with errors?
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