MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
If a random sample of size n is selected without
replacement from the finite population that consists of
the integers 1, 2, ... , N, show that
(a) the
2 ;
(b) the variance of X is (N + 1)(N − n)
12n ;
(c) the mean and the variance of Y = n · X are
E(Y) = n(N + 1)
2
and var(Y) = n(N + 1)(N − n)
12
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