In: Statistics and Probability
1) A circle of radius r has area A = π r2. If a random circle has a radius that is evenly distributed in the interval (0, 1), what are the mean and variance of the area of the circle?
choose the correct answer
A) 1/3 and 1/12
B) Pi/3 and 1/12
C) Pi/3 and 1/5
D) Pi/3 and (4/45)*Pi^2