6 Customers arrive at an enquiry desk at a constant average rate of 1 every 5 minutes.
- State one condition for the number of customers arriving in a given period to be modelled by a Poisson distribution.
Assume now that a Poisson distribution is a suitable model.
- Find the probability that exactly 5 customers will arrive during a randomly chosen 30 -minute period.
- Find the probability that fewer than 3 customers will arrive during a randomly chosen 12-minute period.
- Find an estimate of the probability that fewer than 30 customers will arrive during a randomly chosen 2-hour period.