The number of customers arriving at the express checkout at a local grocery store can be modeled by a Poisson process with a mean rate of 10 customers per hour. I Find the mean waiting time 1' between customers at the express checkout. What distribution does T follow? Write down the pdf of T. I Find the probability that more than 15 minutes elapses between customers. [E If there is no customers within the last 15 minutes, what is the probability that a customer will arrive within the next 15 minutes