Determine Whether a Probability Experiment is a Hypergeometric Experiment
-A jury is to be selected from a pool of 38 potential jurors. The defendant faces the death penalty if convicted. Of the potential jurors, 7 are opposed to the death penalty. The jury consists of 12 randomly selected jurors. The random variable $X$ represents the number of jurors who oppose the death penalty.
A) hypergeometric; $\mathrm { N } = 38 , \mathrm { n } = 12 , \mathrm { k } = 7 , \mathrm { x } = 0,1,2 , \ldots , 7$
B) hypergeometric; $\mathrm { N } = 38 , \mathrm { n } = 7 , \mathrm { k } = 12 , \mathrm { x } = 0,1,2 , \ldots , 7$
C) hypergeometric; $\mathrm { N } = 38 , \mathrm { n } = 12 , \mathrm { k } = 7 , \mathrm { x } = 0,1,2 , \ldots , 12$
D) not hypergeometric

Question

Quizplus · Accepted Answer

This is a hypergeometric experiment because it involves selecting without replacement from a finite population where each selection is not independent. Here, $N = 38$ (total number of potential jurors), $n = 12$ (number of jurors to be selected), $k = 7$ (number of jurors opposed to the death penalty), and $x$ can range from 0 to 7, representing the possible number of jurors selected who oppose the death penalty.

Determine Whether a Probability Experiment Is a Hypergeometric Experiment -A XXX

Determine Whether a Probability Experiment Is a Hypergeometric Experiment
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