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When attending a movie, patrons are interested in avoiding the pre-movie trivia games, ads, and previews. It is known that the previews begin at the scheduled movie start time and they last between 5 and 15 minutes. Assume that the time of the previews is uniformly distributed.
A) Find the expected time and variance of the movie preview duration.
B) What is the probability that on a given day the previews last between 10 and 12 minutes?
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