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QUESTION
(a) Suppose that the radius of the dart board is uniformly distributed between 0 and 1, what are the mean and variance of the area of the dart board?...
(a) Suppose that the radius of the dart board is uniformly distributed between 0 and 1, what
are the mean and variance of the area of the dart board?
b) Unfazed by a dartboard which somehow has a random radius, you throw a dart uniformly
at random in the circle of radius 1. What is the probability you miss the board entirely?
