An electronics store receives a shipment of 50 flat screen TVs of which 5 are defective. During the qualitycontrol inspection, 4 TVs are selected at random from the shipment for testing. The random variable Xrepresents the number of defective computers in the sample
A) hypergeometric; $\mathrm { N } = 50 , \mathrm { n } = 4 , \mathrm { k } = 5 , \mathrm { x } = 0,1,2,3,4$
B) hypergeometric; $\mathrm { N } = 50 , \mathrm { n } = 5 , \mathrm { k } = 4 , \mathrm { x } = 0,1,2,3,4$
C) hypergeometric; $\mathrm { N } = 50 , \mathrm { n } = 4 , \mathrm { k } = 5 , \mathrm { x } = 0,1,2 , \ldots , 5$
D) not hypergeometric

Question

An electronics store receives a shipment of 50 flat screen TVs of which 5 are defective. During the qualitycontrol inspection, 4 TVs are selected at random from the shipment for testing. The random variable Xrepresents the number of defective computers in the sample 
A) hypergeometric; $\mathrm { N } = 50 , \mathrm { n } = 4 , \mathrm { k } = 5 , \mathrm { x } = 0,1,2,3,4$
B) hypergeometric; $\mathrm { N } = 50 , \mathrm { n } = 5 , \mathrm { k } = 4 , \mathrm { x } = 0,1,2,3,4$
C) hypergeometric; $\mathrm { N } = 50 , \mathrm { n } = 4 , \mathrm { k } = 5 , \mathrm { x } = 0,1,2 , \ldots , 5$
D) not hypergeometric

Quizplus · Accepted Answer

The scenario fits the hypergeometric distribution because it involves sampling without replacement from a finite population where each item can be classified into one of two categories (defective or not defective). The parameters correctly match the definitions for a hypergeometric distribution: $N = 50$ (total number of TVs), $n = 4$ (sample size), $k = 5$ (number of defective TVs), and $x$ can take on the values 0, 1, 2, 3, or 4, representing the possible number of defective TVs found in the sample.

An Electronics Store Receives a Shipment of 50 Flat Screen N=50,n=4,k=5,x=0,1,2,3,4\mathrm { N } = 50 , \mathrm { n } = 4 , \mathrm { k } = 5 , \mathrm { x } = 0,1,2,3,4N=50,n=4,k=5,x=0,1,2,3,4

An Electronics Store Receives a Shipment of 50 Flat Screen $\mathrm { N } = 50 , \mathrm { n } = 4 , \mathrm { k } = 5 , \mathrm { x } = 0,1,2,3,4$