A particular newspaper averages 22 misprints per page In a r

A particular newspaper averages 2.2 misprints per page. In a randomly selected section of the paper which has 8 pages, what is the probability that there are exactly 9 misprints?

Solution

A particular newspaper averages 2.2 misprints per page. In a randomly selected section of the paper which has 8 pages, what is the probability that there are exactly 9 misprints?

2.2 misprints per page

There are 8*2.2 = 17.6 misprints per 8 page

Poisson distribution used.

P(X=x) = e^{- x} / x!   

P(X=9) = e^-17.6 17.6⁹ / 9!   

=0.010145

P(X = 9) = 0.010145