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Buses run every 15 minutes along a certain route during rush hour. The time that a person would have to wait at a bus stop is uniformly distributed between 0 and 18 minutes.
a. What is the probability that this person has to wait between 5 and 10 minutes for the next bus?
b. What is the probability of a wait of at least 15 minutes?
c. Determine the expected waiting time and variance of waiting times.
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