A statistic professor finds she averages five e-mail messages per day from students. Assume the number of messages approximates a Poisson distribution.
What is the probability that on a randomly selected day she will have five messages?
A) 0.0067
B) 0.875
C) 0.175
D) 1.0
E) None of the choices are correct

Question

Quizplus · Accepted Answer

The probability of receiving exactly k messages in a Poisson distribution is given by the formula P(X=k) = (λ^k * e^(-λ)) / k!, where λ is the average rate (5 in this case) and k is the number of messages (5). Calculating this gives approximately 0.175.

A Statistic Professor Finds She Averages Five E-Mail Messages Per