A rider is waiting for a bus and the bus is always X hours late. X is a random variable distributed uniformly on a range [O, A). A priory it is known that A is equal to any one of the following values with equal probability: (1/6), (1/4), (1/3), (1/2). If the bus arrives 12 minutes late (1/5 of an hour), what is the posterior probability for the
most likely value of A?

Answercrankcase;

Answeran electronic notebook;

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