Question: Suppose that the measured radius R is a random variable with density fR(x) = 12x2(1 x) for 0 x 1 0 otherwise.

Suppose that the measured radius R is a random variable with density fR(x) = 12x2(1 − x) for 0 ≤ x ≤ 1 0 otherwise.

In a circle with radius R, find the cdf of: (i) The diameter. (ii) The area.

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