Costumers appear at the counter of a PVR theatre at a rate of 120 per hour. Find the probability that during a given minute

(a)No customer appears
(b)Only one costumer appears
(c)at least one costumer appears
(d)between one and three customers appear (inclusive)
(e)at most 2 customers appear

Question

Costumers appear at the counter of a PVR theatre at a rate of 120 per hour. Find the probability that during a given minute

(a)No customer appears
(b)Only one costumer appears
(c)at least one costumer appears
(d)between one and three customers appear (inclusive)
(e)at most 2 customers appear

tkhunny · Answer

The Poisson Distribution is notoriously scalable.  $$\lambda_{hour} = 120$$  Fine, then $$\lambda_{minute} = 120/60 = 2$$  Let's see what you get.