For a hypergeometric random variable, SD(X)=
Multiple choice question.
n(SN)(1−SN)(N−nN−1)⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√
n(SN)
(1−SN)
(N−nN−1)
n(SN)
μ⎯⎯√
The correct answer is μ⎯⎯√. The standard deviation of a hypergeometric random variable is equal to the square root of the variance, and the variance of a hypergeometric random variable is given by n(SN)(1−SN)(N−nN−1). Therefore, the standard deviation is the square root of this variance, which is μ⎯⎯√.
The correct answer is:
n(SN)(1−SN)(N−nN−1)⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√