The actual arrival time of the scheduled 10:20 a.m. bus at the Alpine and Broadway stop is

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The actual arrival time of the scheduled 10:20 a.m. bus at the Alpine and Broadway stop is a uniformly distributed random variable ranging from 10:18 to 10:23.

(a) What is the average arrival time of the 10:20 a.m. bus?

(b) The standard deviation?

(c) What is the probability that the bus is early?

(d) What is the probability that the bus arrives between 10:19 and 10:21 a.m.?

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