Poisson process

Akina @denis young , @grandpa kunjeni hapa kidogo

I found this question fascinating:
A barber with a one-man barbershop takes exactly 30 minutes to complete one haircut. If customers arrive according to a Poisson process at a rate of one every 40 minutes, how long on the average must a customer wait for service?

The second one wont wait, the third one wont wait nor will the fourth one. No one will wait…

mean=∆ variance =∆ pmf=(∆^x(e^-x))/x!

Nimekimbia mbio thinking its something poisonous.

@Unataka kujua ili?

Sikufanya stats but by logic none will wait assuming anaingia direct after mmoja kumaliziwa.
I think for each customer the barber saves 10 minutes 10(n) N being the number of customers.
But let me research and see if I can prove it with the poisson process.

:DWhatever that is

Ferk…brain crump!

lw=^/u(u-^) =0.075

Hii ni hesabu ya probability!

poisson-fish

i would rather use Monte Carlo method