Question: Let Y, Y,,..., Y, be independent random samples from a beta distribution, with parameter a = B = 2. Find (i) the cumulative distribution function

Let Y, Y,,..., Y, be independent random samples from a beta distribution, with parameter a = B = 2. Find (i) the cumulative distribution function of Y... = max(Y,,Y,,...Y.). (3 marks) (ii) the probability density function of Y. (3 marks) Let Y, Y,,..., Y, be independent random samples from a beta distribution, with parameter a = B = 2. Find (i) the cumulative distribution function of Y... = max(Y,,Y,,...Y.). (3 marks) (ii) the probability density function of Y

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