The number of typographical errors in a document follows a Poisson distribution with a mean of 2 errors per page. Let X represent the number of errors on 3 pages. Find P(Less than 3)
A)0.0174
B)0.0620
C)0.0595
D)0.6767

Question

Quizplus · Accepted Answer

Since the mean number of errors per page is 2, for 3 pages, the mean ($\lambda$) becomes $2 \times 3 = 6$. The probability of observing fewer than 3 errors in a Poisson distribution with $\lambda = 6$ is calculated using the Poisson probability formula. The correct answer is found by summing the probabilities of observing 0, 1, or 2 errors.

The Number of Typographical Errors in a Document Follows a Poisson