Determine Whether a Probability Experiment is a Hypergeometric Experiment
-An electronics store receives a shipment of 47 flat screen TVs of which 10 are defective. During the quality control inspection, $4 \mathrm { TVs }$ are selected at random from the shipment for testing. The random variable $\mathrm { X }$ represents the number of defective computers in the sample
A) hypergeometric; $\mathrm { N } = 47 , \mathrm { n } = 4 , \mathrm { k } = 10 , \mathrm { x } = 0,1,2,3,4$
B) hypergeometric; $\mathrm { N } = 47 , \mathrm { n } = 10 , \mathrm { k } = 4 , \mathrm { x } = 0,1,2,3,4$
C) hypergeometric; $\mathrm { N } = 47 , \mathrm { n } = 4 , \mathrm { k } = 10 , \mathrm { x } = 0,1,2 , \ldots , 10$
D) not hypergeometric

Question

Quizplus · Accepted Answer

This scenario is a hypergeometric experiment because it involves a finite population (47 TVs) from which a sample (4 TVs) is drawn without replacement, and we are interested in the number of defective TVs (10 defective out of 47) in the sample. The parameters correctly match the hypergeometric distribution formula, where $N = 47$ is the population size, $n = 4$ is the sample size, $k = 10$ is the number of successes in the population, and $x$ can take on the values 0, 1, 2, 3, or 4, representing the possible number of defective TVs found in the sample.

Determine Whether a Probability Experiment Is a Hypergeometric Experiment -An 4TVs4 \mathrm { TVs }4TVs

Determine Whether a Probability Experiment Is a Hypergeometric Experiment
-An $4 \mathrm { TVs }$