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Normal Approximation to the Binomial Distribution: Interactive Resource

This applet allows the user to enter values for \(n\) and \(p\).

Discrete Distributions, Bernoulli and Binomial

A video explaining the concept of iterated expectations. The formula is developed, and consequences of that formula to the field of econometrics are discussed.

Expected Value, Definition and Basic Properties

Markov's Inequality - Introduction

Wikipedia entry for Markov's Inequality. It contains a statement and proof and notes that Chebyshev's inequality is a corollary.

Expected Value, Inequalities

Variance and Higher Moments - Comprehensive Introduction

This page contains the definition of variance and higher moments using the expected value. It contains properties, with proofs, of variance, skew, and kurtosis.

Expected Value, Variance and Higher Moments

Random Birthday Applet - Demonstration

A nice grid form of calendar that illustrates matching birthdays. A drop-down and limited range of choice for the number of birthdays is given.

Basic Probability, Basic Rules, Combinatorics, Famous Problems, Birthday

Mean and Variance of Random Variables - Descriptions and Examples of Tranformation Rules

This page provides definitions and formulas for calculating the mean and variance of random variables. Also, it provides several examples of the computation of these values.

Random Variable

Simulated Experimental Dice-Roll Data

This simple to use interface allows the user to select the number of dice to roll. The results of rolling the dice are shown in a new window by using pictures of the resulting dice rolls.

Randomizing Gadgets

Random Drawing Tool - Sampling Distribution: Numbers, Dice, Coin

This applet generates a sampling distribution of three simulations: drawing numbers, rolling dice and flipping a coin.

Randomizing Gadgets

Pass the Pigs - Play Online for Free

Pass the Pigs is a commercial game in which the players roll plastic pigs as if they were dice and earn various points depending on how the pigs land.

Randomizing Gadgets

Adjustable Spinner Simulation

The spinner simulation allows one to change the number of sectors and to adjust the sector sizes.

Randomizing Gadgets