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l. [12 pts total] Suppose that a circle's radius R is a random variable that is uniformly distributed on the interval [2, 6]. (a) [2

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l. [12 pts total] Suppose that a circle's radius R is a random variable that is uniformly distributed on the interval [2, 6]. (a) [2 pts] Obtain the density of H. (b) [2 pts] Obtain the cumulative distribution function of R. (c) [8 pts] Find the mean and the variance of the area of the circle

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