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Q4. (a) Consider a population uniformly distributed over the interval [0, 1]. Let V be the nth order statistic of a sample of size n

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Q4. (a) Consider a population uniformly distributed over the interval [0, 1]. Let V be the nth order statistic of a sample of size n taken from the population. Then g(v) = nun-1/(v E [0, 1]) can serve as a probability density function of V. Suppose W is independent of V and has a probability density function mum-1I(w e [0, 1]), where m is a positive integer. Show that P( V

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