At a particular restaurant (R1), a new customer arrives every 9 minutes on average during happy hour. Assume that this inter-arrival time is exponentially distributed and label it T. i. What is the probability that someone will arrive in precisely 8.00 minutes (the .00 goes on forever).

a. What is the probability that the next customer will arrive in more than 8.00 minutes?

b. Happy hour is a bit of a misnomer, and lasts from 1700 to 1830. If C represents the number of customers who arrive during happy hour, how is C distributed?

c. Find one good reason why you could argue against the assumption that the inter-arrival time at R1 during happy hour is exponentially distributed.

d. What is the probability that a dozen customers arrive during a given happy hour; i.e. find P(C=12)?