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Q.

In a book of 1000 pages it is found that there are 200 typing errors. Assume that Poisson law holds for the number of errors per page. Then the probability that a random sample of 5 pages will contain no error is

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a

e–0.3

b

e–0.5

c

e–1

d

e–2

answer is C.

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Detailed Solution

λ=2001000=15 p(X=0)5=p(x=0) p(x=0) p(x=0) p(x=0) p(x=0) P(x=0)=e-0.2λ00ǃ=e-0.2
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In a book of 1000 pages it is found that there are 200 typing errors. Assume that Poisson law holds for the number of errors per page. Then the probability that a random sample of 5 pages will contain no error is