A quantity x has cumulative distribution function P(x) x x 2 4 for 0 x 2 and P(x) 0 for x 0 and P(x) 1 for x 2 Find the mean and median of x

Question: A quantity x has cumulative distribution function P(x) = x x 2 4 for 0 x 2 and P(x) = 0 for

A quantity x has cumulative distribution function P(x) = x − x²∕4 for 0 ≤ x ≤ 2 and P(x) = 0 for x < 0 and P(x) = 1 for x > 2. Find the mean and median of x.

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