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 hour.
A)0%
B)2%
C)18%
D)25%
E)44%

Question

Quizplus · Accepted Answer

The Poisson probability function is given by:P(X = k) = (e^-λ * λ^k) / k!where:λ is the average number of events per unit timek is the number of events that occurIn this case, λ = 4 emails per hour and k = 0 emails. So, the probability that Serge receives no emails in the next hour is:P(X = 0) = (e^-4 * 4^0) / 0! = 0.0183 = 1.83%

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