Question

A history professor finds that when he schedules an office hour at the 1030 am time slot an average of 3 students arrive. Use the poisson distribution to find the probability that in a randomly selected office hour in the 1030 am time slot exactly 5 students will arrive.

Answer 1

Poisson distribution with a mean of m:
P(x) = e^(-m) m^x / x!

P(5) = e^(-3) 3^5 / 5!

I'll let you finish the computation.

Answer 2

Thank you.. It is 0.1008..

Answer 3

Correct!