In a book, two misprints occur per 100 pages. Using the cumulative Poisson probability table available in your text, which of the following probabilities can we determine for a book of 500 pages?
A) The probability of finding 5 or 6 misprints equals 0.099.
B) The probability of finding at least 20 misprints equals 0.003.
C) The probability of finding at least 24 misprints equals 0.1234.

Question

Quizplus · Accepted Answer

We can use the Poisson distribution to calculate the probability of finding a certain number of misprints in a given number of pages. For a book of 500 pages, we can expect 10 misprints (2 misprints per 100 pages). To find the probability of finding at least 20 misprints, we can use the Poisson distribution with a mean of 10 and a value of 20. Using a cumulative Poisson probability table, we find that the probability is 0.003. Therefore, choice B is the correct answer. The probabilities in choices A and C are not provided in the Poisson probability table.

In a Book, Two Misprints Occur Per 100 Pages