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Q.

In a book of 250 pages, there are 200 typographical errors. Assuming that the number of errors per page follows the poisson law, then the probability that a random sample of 5 pages will contain no typographical error is.

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a

e45

b

e1625

c

e4

d

e1

answer is C.

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Detailed Solution

λ=200250=45;[P(X=0)]5

=[e4/5(45)00!]5=[e4/5(1)(1)]5

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In a book of 250 pages, there are 200 typographical errors. Assuming that the number of errors per page follows the poisson law, then the probability that a random sample of 5 pages will contain no typographical error is.