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

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