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# Elementary Probability

• ### DAU StatRefresher: Probability - Self Test

This self-test provides a review/assessment of the Probability section of this module. At the bottom, there is a grading button to rate the users' understanding of the material.
• ### DAU StatRefresher: Final Test

This module is a short quiz which gives a review/assessment of the main concepts for this refresher course. At the bottom, there is a grading button to rate the understanding of the material.
• ### Video: Against All Odds: 23. Control Charts

In this free online video program, "the successes of casino owners and the manufacturing industry are used to demonstrate the use of the central limit theorem. One example shows how control charts allow us to effectively monitor random variation in business and industry. Students will learn how to create x-bar charts and the definitions of control limits and out-of-control limits."
• ### Project #2: Probability Summary

This assignment has students investigate whether the risk of having a child with a low birth weight is higher when the mother drinks and smokes during pregnancy. The data set represents a random sample of 1450 births from the state of North Carolina.
• ### JMP Tutorials

This site has Youtube video tutorials and screen capture tutorials about how to make graphical displays and perform statistical tests using JMP.
• ### Buffon's Needle JAVA Sourcecode

This is a "Building Block" for the Buffon Needle problem. The source code and compile code are included as well as separate files for each. Users able to test the applet to determine if it meets their needs.

• ### The Poisson Process

This online, interactive lesson on the Poisson process provides examples, exercises, and applets. Specific topics include the exponential distribution, gamma distribution, Poisson distribution, splitting a Poisson process, analogy with Bernoulli trials, and higher dimensional Poisson processes.
• ### Quote: Churchill on Statistics

The only statistics you can trust are those you falsified yourself is a quote attributed to former British Prime Minister Sir Winston Churchill (1874 - 1965). However scholars at the Churchill Centre (www.winstonchurchill.org) can not find this quote in any of Winston Churchill's books, articles, or speeches.
• ### ** Sampling from a Real Estate Database

This material is a detailed exercise for students in introductory statistics. Students are asked to collect a random sample of data from a real estate website; conduct descriptive statistics (including confidence intervals); and write a report summarizing their dataset. The primary learning goals are to teach students 1) how to obtain a random sample; 2) how to interpret confidence intervals; 3) how to simulate and interpret a sampling distribution; and 4) how to communicate descriptive statistics.
• ### Analysis Tool: Statistics Online Computational Resources (SOCR)

This applets on this site include: interactive graphs of many distribution models; a collection of computer generated games; a collection of data modeling aids including curve fitting, wavelets, matrix manipulations, etc.; p-values, quantiles & tail-probabilities calculations; virtual online probability experiments and demonstrations; and a large collection of statistical techniques for online data analysis, visualization, and integration.