10. Let X1, X2,…… , X6 be a random sample from a population with a pdf f(r; k) = k x*-1, k > 0;0 < x < 1 Let Y1, Y2, --• , Y, be the order statistics of the random sample X1, X2, , X6. Find: (a) The pdf of Y (b) The pdf of Y; (c) Use the pdf of Y; to find the expected value of the 5th order statistic, E(Ys), when

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10. Let X1, X2, …… , X6 be a random sample from a population with a pdf
f(r; k) = k a-, k > 0;0 <x <1
Let Y, Y2, , Y be the order statistics of the random sample X1, X2,, X6. Find:
(a) The pdf of Y
(b) The pdf of Y,
(c) Use the pdf of Y; to find the expected value of the 5th order statistic, E(Ys), when
k = 4.
Transcribed Image Text:10. Let X1, X2, …… , X6 be a random sample from a population with a pdf f(r; k) = k a-, k > 0;0 <x <1 Let Y, Y2, , Y be the order statistics of the random sample X1, X2,, X6. Find: (a) The pdf of Y (b) The pdf of Y, (c) Use the pdf of Y; to find the expected value of the 5th order statistic, E(Ys), when k = 4.
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