Understanding Hypergeometric Distribution

This video tutorial covers the hypergeometric distribution, explaining its characteristics and how it differs from other probability distributions. It provides examples, such as selecting a school committee and drawing marbles, to illustrate the calculation of probabilities and expected values. The tutorial also demonstrates using a calculator and online tools to verify results.

Which of the following is NOT a characteristic of a hypergeometric experiment?

• Sampling from two groups

• Sampling with replacement

• Concerned with a group of interest

• Each pick is not independent

In a hypergeometric distribution, what does the parameter 'r' represent?

• The size of the chosen sample

• The size of the group of interest

• The total number of items

• The size of the second group

What is the probability of selecting two men from a committee of four, chosen from six men and five women?

• 0.6000

• 0.5000

• 0.4545

• 0.3935

How many men are expected to be on the committee of four?

• 1.5

• 2.0

• 2.1818

• 3.0

What is the mean of the hypergeometric distribution in the first example?

• 3.0952

• 3.0

• 2.1818

• 2.0

In the marbles example, what is the probability of drawing three red marbles from a total of five drawn?

• 0.6000

• 0.3935

• 0.5000

• 0.4545

How many red marbles are expected when drawing five marbles from the bag?

• 4.0

• 3.0952

• 3.0

• 2.5

What is the total number of marbles in the bag in the second example?

• 13

• 8

• 5

• 21

What is the sample size when drawing marbles in the second example?

• 13

• 3

• 8

• 5

Which tool can be used to verify hypergeometric distribution probabilities?

• Graphing Software

• Excel Spreadsheet

• TI-84 Calculator

• Online Probability Calculator