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The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 5 minutes.

(a) What is the probability that more than three customers arrive in 10 minutes?

(b) What is the probability that the time until the fifth customer arrives is less than 15 minutes?

(a) What is the probability that more than three customers arrive in 10 minutes?

(b) What is the probability that the time until the fifth customer arrives is less than 15 minutes?

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