The mean number of pages per day written by an author is 27. What is the probability this author writes 33 pages on a particular day? Assume a Poisson distribution for this scenario.
A) 0.0372.
B) 0.9628.
C) 0.4277.
D) 0.9572.

Question

Quizplus · Accepted Answer

We are given that the distribution is Poisson with a mean of 27 pages per day. The Poisson distribution has the probability mass function:
P(X = k) = (e^(-λ) * λ^k) / k!, where k is the number of pages written on a particular day and λ is the mean number of pages per day (λ = 27 in this case).
Substituting k = 33 and λ = 27, we get:
P(X = 33) = (e^(-27) * 27^33) / 33!
Using a calculator, we can calculate this probability as approximately 0.0372. Therefore, the answer is A.

The Mean Number of Pages Per Day Written by an Author