Assume that the times between arrivals of customers to a store are independent of each other and
exponentially distributed with an average of 10 minutes.
(a) Find the probability that the time between arrivals is more than 30 minutes.
(b) Find the probability that two customers arrive at the same time.
(c) Find the probability that the time until the next arrival is more than 30 minutes, given that it is
more than 20 minutes.
(d) If two customers arrived between 12:50 and 13:00 and one at 13:00, what is the probability
that the next customer arrives before 13:15?
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