Website
Columbia University

Columbia University: Expected Value Pdf

For Students 10th - 12th Standards
A PDF explaining and giving examples to show how the expected value of a random variable indicates its weighted average.
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Khan Academy

Khan Academy: Making Decisions With Expected Values

For Students 9th - 10th Standards
Calculate expected values and then use them to make decisions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Khan Academy

Khan Academy: Expected Value With Calculated Probabilities

For Students 9th - 10th Standards
Find expected value based on calculated probabilities. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Khan Academy

Khan Academy: Expected Value With Empirical Probabilities

For Students 9th - 10th Standards
Find expected value based on empirical probabilities. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lesson Plan
Texas Instruments

Texas Instruments: Numb3 Rs: Expected Value

For Teachers 9th - 10th Standards
Based off of the hit television show NUMB3RS, this lesson attempts to explain the betting system at horse tracks by having students vie for parcels of land on their calculators. Because the land boundaries are unknown until the finale of...
Unknown Type
Khan Academy

Khan Academy: Discrete Random Variables: Expected Value

For Students 9th - 10th Standards
Compute the expected value given a set of outcomes, probabilities, and payoffs. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.
Unknown Type
Khan Academy

Khan Academy: Mean (Expected Value) of a Discrete Random Variable Practice

For Students 10th - 12th Standards
A practice word problem asking learners to calculate the mean of B in a probability chart.
Activity
Texas Instruments

Texas Instruments: Probability: Pairs of Events and Expected Values

For Teachers 9th - 10th Standards
This set of questions pertains to probability: pairs of events, mutually exclusive events, complementary events, expected values, independent events, and conditional probability. Solutions and explanations are included.
PPT
NC State University

Nc State University: 4.2 (Cont.) Expected Value of a Discrete Random Variable

For Students 10th - 12th
A PowerPoint explaining and showing examples of how to measure the mean of the values of a random variable.
Unit Plan
Sophia Learning

Sophia: Introduction to Probability

For Students 9th - 10th Standards
Introduction to Probability is a resource that provides assessment and teacher tutorials that focus on mathematic concepts such as probability, outcomes, events, probability distribution, laws, values and odd.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Not So Great Expectations

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson exposes students to the concept of expected values (or expected outcomes). The method for computing the expectation is explained, and then many examples are given for students to...
Unit Plan
Interactive Mathematics

Interactive Mathematics: Probability Distribution

For Students 9th - 10th Standards
The concept of random variables is the focus of this lesson, including definitions of discrete and continuous random variables. Discussions on discrete probability distribution and density function are included, along with expected value...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Md.2 Bob's Bagel Shop

For Teachers 9th - 10th
The purpose of this task is to assess a student's ability to compute and interpret an expected value. Notice that interpreting expected value requires thinking in terms of a long-run average. Students will help Bob the bagel man find the...
Unit Plan
Other

Hsor.org: Modules: Making a Decision With Impact

For Teachers 9th - 10th
This module is mainly about construction of a probability decision tree and calculation of expected values.
Interactive
Shodor Education Foundation

Shodor Interactivate: Stock Exchange Game

For Students 9th - 10th Standards
In this game, two players compete in a stock exchange, working with the concepts of theorertical and experimental probabilities and expected value. They must enter the probability and payoff of winning a single game, then observe the...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Histogram and Probability Distribution Generator

For Students 9th - 10th Standards
The learning tool displays data in the form of a histogram. The tool also shows descriptive statistics and probability distributions. Examples of data are included.
Website
Illustrative Mathematics

Illustrative Mathematics: Hss md.a.2

For Students 9th - 10th Standards
Three activities asking students to calculate the expected value of a random variable and interpret it as the mean of the probability distribution. Tasks include Bob's Bagel Shop, Fred's Fun Factory, and Sounds Really Good! (sort of).
Website
University of Glasgow

Steps Statistics Glossary: Random Variables and Probability Distributions

For Students 9th - 10th Standards
This section of the Statistics Glossary offers definitions of terms having to do with random variables and probability distributions such as expected value and normal distribution.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Md.2, 5 Sounds Really Good! (Sort Of)

For Teachers 9th - 10th
A friend of yours, Phil, writes to you asking about a new scratch-off lottery game. It costs $10 to play this game. There are two outcomes for the game (win, lose) and the probability that a player wins a game is 60%. A win results in...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Md Fred's Fun Factory

For Teachers 9th - 10th Standards
A famous arcade in a seaside resort town consists of many different games of skill and chance. In order to play a popular "spinning wheel" game at Fred's Fun Factory Arcade, a player is required to pay a small, fixed amount of 25 cents...
Handout
University of Glasgow

Steps Statistics Glossary: Normal Distribution

For Students 9th - 10th Standards
Overview of normal distribution, including the normal distribution model, the probability density function, and standard normal distribution. The parameters for "normal" distribution are provided.
Website
Other

Teach Me Finance: Finance Tutorials

For Students 9th - 10th
Are you looking to learn basic financial concepts? Teach Me Finance offers easy-to-use tutorials that introduce learner's to financial literacy.

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