A dictionary contains 500 pages. If there are 200 typing errors randomly distributed throughout the book, usethe Poisson distribution to determine the probability that a page contains exactly three errors.
A) 0.0072
B) 0.0005
C) 0.1734
D) 0.0129

Question

Quizplus · Accepted Answer

The Poisson distribution is given by:P(X = k) = (e^-λ * λ^k) / k!where:λ is the average number of events per unit time or spacek is the number of events that occurIn this case, λ = 200 / 500 = 0.4.So, the probability of a page containing exactly three errors is:P(X = 3) = (e^-0.4 * 0.4^3) / 3! = 0.0072Therefore, the correct answer is A.

A Dictionary Contains 500 Pages