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

Answer 1

i am going to guess poisson for this one

Answer 2

120 per hour means 2 per minute, use \(\lambda=2\)

Answer 3

\[P(k=0)=e^{-\lambda}=e^{-2}\] for the first one

Answer 4

second one is
\[P(K=1)=2e^{-2}\]

Answer 5

Is tat correct?

Answer 6

general form is
\[P(x=k)=\frac{\lambda^ke^{-k}}{k!}\]

Answer 7

i should have written for the second answer
\[P(x=1)=2e^{-2}\]

Answer 8

at least one means not none, compute
\[1-e^{-2}\]