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A circle of radius r has area A = πr2. If a random circle has a...

A circle of radius r has area A = πr2. If a random circle has a radius that is uniformly distributed on the interval (0, 1), what are the mean and variance of the area of the circle?

Change the distribution of the radius to an exponential distribution with paramter β = 2. Also find the probability that the area of the circle exceeds 3, if it is known that the area exceeds 2.

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milcah answered 5 months ago
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