Let X1, X2,..., Xn be a random sample of size n (2 2) from a distribution having the probability density function Q.39 1 x > 0, f(x; 0) = {0 otherwise, 0, = min{ X1, X2,., Xn} and T = EX. where 0 E (0, c0). Let X(1) Then E(X(1) | T) equals ....

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let X1, X2, .., Xn be a random sample of size n (2 2) from a
distribution having the probability density function
Q.39
x > 0,
f(x; 0) = 0
0,
where 0 € (0, 00). Let X(1) = min{ X1, X2, ..., X} and T = E-1X4.
%3D
otherwise,
Then E(X(1) |T) equals
T
(A)
n2
(B) T
(C)
(n + 1)T
2n
(D) (n+ 1)2T
4n2
Transcribed Image Text:Let X1, X2, .., Xn be a random sample of size n (2 2) from a distribution having the probability density function Q.39 x > 0, f(x; 0) = 0 0, where 0 € (0, 00). Let X(1) = min{ X1, X2, ..., X} and T = E-1X4. %3D otherwise, Then E(X(1) |T) equals T (A) n2 (B) T (C) (n + 1)T 2n (D) (n+ 1)2T 4n2
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