At work, Serge receives an average of four e-mails every hour.Assuming that all of the Poisson conditions are met, use the Poisson probability function to calculate the probability that Serge receives no e-mails in the next 15 minutes.
A)1%
B)2%
C)25%
D)37%
E)48%

Question

Quizplus · Accepted Answer

The average number of e-mails Serge receives in an hour is 4, so in 15 minutes (which is a quarter of an hour), the average would be 4 emails/hour * 1/4 hour = 1 email. Using the Poisson probability function for receiving 0 emails when the average is 1, P(X=0) = e^(-1) * 1^0 / 0! = e^(-1) ≈ 0.3679 or 36.79%, which rounds to 37%.

At Work, Serge Receives an Average of Four E-Mails Every