Question: Problem # 10: Let Y, Y,......,Y, be independent random variables, each with a beta distribution with a=3 and B=2. (a ) Find the probability distribution

 Problem # 10: Let Y, Y,......,Y, be independent random variables, each

Problem # 10: Let Y, Y,......,Y, be independent random variables, each with a beta distribution with a=3 and B=2. (a ) Find the probability distribution function of the maximum order statistic ( You ) (b) Find the density function of You . Does Y, have a beta distribution? (c) Find the expected value of You when n=12

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