Question

A professor receives, on average, 8 emails from students on the day before an online quiz. If the distribution of the calls is Poisson, what is the chance that he received at least 6 and at most 10 emails on such a day?

Answer 1

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

Values:
x = 6,7,8,9,10
m = 8

Substitute and calculate for each x. Add all those calculations together for a total probability.

I hope this will help.