(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?