A jury is to be selected from a pool of 34 potential jurors. The defendant faces the death penalty if convicted. Ofthe potential jurors, 7 are opposed to the death penalty. The jury consists of 12 randomly selected jurors. Therandom variable X represents the number of jurors who oppose the death penalty.
A) hypergeometric; $\mathrm { N } = 34 , \mathrm { n } = 12 , \mathrm { k } = 7 , \mathrm { x } = 0,1,2 , \ldots , 7$
B) hypergeometric; $\mathrm { N } = 34 , \mathrm { n } = 7 , \mathrm { k } = 12 , \mathrm { x } = 0,1,2 , \ldots , 7$
C) hypergeometric; $\mathrm { N } = 34 , \mathrm { n } = 12 , \mathrm { k } = 7 , \mathrm { x } = 0,1,2 , \ldots , 12$
D) not hypergeometric

Question

A jury is to be selected from a pool of 34 potential jurors. The defendant faces the death penalty if convicted. Ofthe potential jurors, 7 are opposed to the death penalty. The jury consists of 12 randomly selected jurors. Therandom variable X represents the number of jurors who oppose the death penalty. 
A) hypergeometric; $\mathrm { N } = 34 , \mathrm { n } = 12 , \mathrm { k } = 7 , \mathrm { x } = 0,1,2 , \ldots , 7$
B) hypergeometric; $\mathrm { N } = 34 , \mathrm { n } = 7 , \mathrm { k } = 12 , \mathrm { x } = 0,1,2 , \ldots , 7$
C) hypergeometric; $\mathrm { N } = 34 , \mathrm { n } = 12 , \mathrm { k } = 7 , \mathrm { x } = 0,1,2 , \ldots , 12$
D) not hypergeometric

Quizplus · Accepted Answer

The scenario fits a hypergeometric distribution because jurors are selected without replacement from a finite pool, and the distribution describes the probability of a certain number of successes (jurors opposed to the death penalty) in a fixed number of draws (jurors selected for the jury) from a population with a known number of successes. The correct parameters are $N = 34$ (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 are opposed to the death penalty.

A Jury Is to Be Selected from a Pool of 34