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10. Let Y1 10. Let Yl < Y2 < < Yn be the order statistics of a random sample of size n from an exponential
10. Let Yl < Y2 < < Yn be the order statistics of a random sample of size n from an exponential distribution with p.d.f. f (x) = e -x, 0 < x < 00. (1 e-Y)T-I (e-Y)n-re-Y, O < y < (a) Find the p.d.f. of Yr. (go (Y) = (rl)!(nr)! 00) (b) Determine the p.d.f. of U = e- r. (Beta p.d.f. with a = n r + 1, = r)
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A Graphical Approach To College Algebra
Authors: John E Hornsby, Gary K Rockswold, Margaret K Lial
5th Edition
0321908260, 9780321908261
