The number of typographical errors in a document follows a Poisson distribution with a mean of 4 errors per page. Let X represent the number of errors on 2 pages. Find $\mu _ { x ^ { * } }$
A) 4
B) 9
C) 8
D) 2.8

Question

Quizplus · Accepted Answer

The mean of a Poisson distribution is given by $\lambda$, which in this case is 4 errors per page. For 2 pages, the mean number of errors ($\mu _ { x ^ { * } }$) would be $2 \times 4 = 8$, since the number of errors on each page is independent and the mean of the sum of independent Poisson distributions is the sum of their means.

The Number of Typographical Errors in a Document Follows a Poisson