let Y1 and Y be the smallest and the largest ordr statistics based on a ranom sample

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X1...Xn from the U(0,1)? let Y1 and Y be the smallest and the largest order statistics based on a ranom sample X1...Xn from the U(0,1) distribution. then show that cov(y1,yn) =1/((n+1)^2(n+2)) for alpha = 0 and bata= 1
 
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