# Simulation

• ### The Birthday Problem

This lesson is based on Lawrence Lesser's article that describes the set-up of the spreadsheet simulation and Cindia Stewart's lesson that seeks to answer the Birthday Problem using three different methods. Probability topics include: Sample Size, Law of Large Numbers, Complementary Probabilities, Independence of Events
• ### High Exposure

This probability activity discusses the differences among various kinds of studies and which types of inferences can legitimately be drawn from each, as well as how sample statistics reflect the values of population parameters and use sampling distributions as the basis for informal inference. The procedure and assessment are provided.
• ### Law of Large Numbers-Hospital

This activity discusses probability topics, such as: sample space, independent events, Law of Large Numbers, deviation percentage. A Excel program is required for this activity, which can be reached via the website.
• ### Spinning Wheel

This activity uses a computer program to explore probability concepts such as sample space, independent events, law of large numbers, and reliability. An outline of the activity and the computer program are provided.
• ### Lucky Number

This activity uses Microsoft Excel for a simulation of probability concepts. The Excel file and handouts are provided. Students will explore the concept of independent events, sample spaces, equally likely probabilities, and percentages within the context of this simulation.
• ### Drawing One and Two Playing Cards With Replacement

This activity uses Microsoft Excel and a deck of playing cards to gain experience with probability concepts. Students will discuss independent events, sample spaces, equally likely probabilities, probability of the intersection of two independent events, probability of the union of two events, percentages, and complements of given events within the context of these simulations. The Excel file and handouts are provided.
• ### True or False?

Through this activity students will gain an understanding of the effect of the sample size on experiments and simulations. A Microsoft Excel program file and handouts are provided.
• ### Analysis Tool: Confidence Interval Simulation

This Java applet demonstrates confidence intervals for the mean. It allows the user to alter sample size, samples taken, intervals, and the option of standard error. The applet displays sample values, such as average, standard deviation, and percent covered.

• ### Flying Bomb Hits on London

This project examines the randomness of clusters using the Poisson Distribution. Using Microsoft Excel, the activity simulates the bombs of London and examines the occurences per cell to estimate lambda.
• ### Sampling SIM: Simulation Software

This program allows the student to explore the nature of sampling distributions of sample means and sample proportions. The software provides separate windows for building population distributions, drawing and viewing random samples from the population, exploring the behavior of sampling distributions of sample means, and exploring the behavior of confidence intervals.