Hypergeometric Probability Distribution

questionI received the following question by e-mail from someone studying for the CQE Exam.  The question is from CQE Web’s reasonably priced preparation manual, QReview.

A box contains ten assemblies of which two are defective.   A sample of three assemblies is selected at random.  What is the probability that the two defective parts will be selected?

The Hypergeometric distribution is used to answer this question.  The formula is:

eq1Where:
N=Population size
n=sample size
D=number defective in the population
d=number defective in the sample
A=number conforming in the population
a=number conforming in the sample

To solve the problem enter the data into your calculator like this

eq2

The answer is .0667

Posted on May 5, 2009 at 8:06 pm by Brian R. Nichols · Permalink
In: Quality Engineering & CQE Exam · Tagged with: