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What is the probability that this person has to wait

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 15 minutes.

What is the probability that this person has to wait between 5 and 10 minutes for the next bus?
What is the probability of a wait of at least 12 minutes?
Determine the expected waiting time and variance of waiting times.

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