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In: Statistics and Probability

A random sample of size n from a distribution by f(x) = 2x and F(x) =...

A random sample of size n from a distribution by f(x) = 2x and F(x) = x^2 ; 0 < x < 1.

Let R = X(n) − X(1) be the range of the sample.

Give a general form of the density function of R

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