5 Customers arrive at a shop at a constant average rate of 2.3 per minute.
- State another condition for the number of customers arriving per minute to have a Poisson distribution.
It is now given that the number of customers arriving per minute has the distribution \(\mathrm { Po } ( 2.3 )\). - Find the probability that exactly 3 customers arrive during a 1 -minute period.
- Find the probability that more than 3 customers arrive during a 2 -minute period.
- Five 1-minute periods are chosen at random. Find the probability that no customers arrive during exactly 2 of these 5 periods.