ERBA (ESD.72) emphasizes three methodologies - reliability and probabilistic risk assessment (RPRA), decision analysis (DA), and cost-benefit analysis (CBA). In this class, the issues of interest are: the risks associated with large engineering projects such as nuclear power reactors, the International Space Station, and critical infrastructures; the development of new products; the design of processes and operations with environmental externalities; and infrastructure renewal projects.

Mathematical literacy textbook for grade 10. This resource includes an interactive online textbook that can be read on personal computers, tablets, and mobile phones. Downloadable textbook and and teachers' guide also available in PDF format, in both English and Afrikaans

Midterm Exam Review for the course "CS 217 – Probability and Statistics for Computer Science" delivered at the City College of New York in Spring 2019 by Evan Agovino as part of the Tech-in-Residence Corps program.

Practice Final Exam for the course "CS 217 – Probability and Statistics for Computer Science" delivered at the City College of New York in Spring 2019 by Evan Agovino as part of the Tech-in-Residence Corps program.

The applet in this section allows you see how probabilities are determined from the exponential distribution. The user determines the mean of the distribution and the limits of probability. Three different probability expressions are available.

This resource consists of a Java applet and expository text. The applet is a simulation of the experiment of selecting n objects at random from the first m positive integers. The random variables of interest are the order statistics. The applet illustrates the distributions of the order statistics.

This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"Can your country’s tax laws help you find true love? A research team based in Europe has found that a government’s tax scheme surrounding marriage could affect a couple’s decision to tie the knot. The majority of countries across the globe have a tax code that changes according to marital status -- usually in the form of either a tax penalty or tax bonus. With a penalty, a couple will end up paying more in taxes than two similarly compensated single individuals, and with a bonus, they will pay less. To get to the heart of whether the financial implications connected to such tax laws influence a couple’s desire to get married, the researchers applied a rigorous theoretical model they called the marriage proposal game. In the game, two potential spouses – Sam and Robin – can either get married, live together without formal marriage, or break up..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.

SSAC Geology of National Parks module/Geology of National Parks course. Students calculate probabilities using USGS hydrograph data, a spreadsheet of daily stage heights, and the COUNTIF function.

This video lesson shows students that math can play a role in understanding how an infectious disease spreads and how it can be controlled. During this lesson, students will see and use both deterministic and probabilistic models and will learn by doing through role-playing exercises. The primary exercises between video segments of this lesson are class-intensive simulation games in which members of the class 'infect' each other under alternative math modeling assumptions about disease progression. Also there is an occasional class discussion and local discussion with nearby classmates.

Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.

Can you tell the difference between actions based upon flipping a coin and those based upon blind guessing or simulating randomness? This short video examines the frequency stability property. Created by Brit Cruise.

This resource consists of a Java applet and descriptive text. The applet illustrates Bernoulli trials in terms of a Galton Board. The number of trials and the probability of success can be varied. The random variables of interest are the number of successes and the probability of a success. The applet illustrates the binomial distribution, the law of large numbers and the central limit theorem.

This resource consists of a Java applet and expository text. The applet illustrates the Galton board in which a ball falls through a triangular array of pegs. Various combinatorial ideas are illustrated, including combinations, bit strings, and binomial coefficients.

An historical examination and analysis of the evolution and development of games and game mechanics. Topics include a large breadth of genres and types of games, including sports, game shows, games of chance, schoolyard games, board games, roleplaying games, and digital games. Students submit essays documenting research and analysis of a variety of traditional and eclectic games. Project teams required to design, develop, and thoroughly test their original games.

This resource consists of a Java applet and expository text. The applet simulates a random sample from a gamma distribution, and computes standard point estimates of the shape and scale parameters. The bias and mean square error are also computed.

This resource consists of a Java applet and expository text. The applet simulates the time of the k'th arrival in a Poisson process. The arrival number k and the rate of the Poisson process can be varied. The applet illustrates the gamma distribution and a special case of the central limit theorem.

In this lesson students will learn about function machines and the data they generate.

Student-facing 7th grade math resources. Covers scale drawings, proportion, percentages, probability, expressions, and geometry.

This site teaches Statistics and Probability to 7th graders through a series of 475 questions and interactive activities aligned to 10 Common Core mathematics skills.

This site teaches Statistics and Probability to 8th graders through a series of 303 questions and interactive activities aligned to 5 Common Core mathematics skills.