Probability & Statistics Tutorials, Examples & Practice Problems

Free elementary statistics tutorials including interactive tutorials using applets as well as analytical tutorials on counting principles and probabilities. Probability and statistics problems are also included.
Brain Games : Challenge Your Mind

Probability Distributions

• Law of Total Probability Examples
• Bayes' Theorem Examples with Solutions
• Conditional Probabilities Examples and Questions
• Binomial Probabilities Examples and Questions
• Poisson Probabilities Examples and Questions
• Geometric Probabilities Distributions Examples
• Hypergeometric Probabilities Distributions Examples
• Addition Rule for Probabilities
• Multiplication Rule for Probabilities for Independent Events.

Statistics Tutorials

• Introduction to Statistics.
• Quartiles and Box Plot Definition and computation of quartiles with Examples and detailed solutions.
• Properties of the Normal Distribution Curve An interactive tutorial using an applet to explore the effects of the mean and standard deviation on the graph of a normal distribution.
• Reading Histograms - Examples With Solutions. Tutorial on how to read and interpret histograms.
• Reading Pie Charts - Examples With Solutions. Tutorial on how to read and interpret pie charts.
• Reading and Interpreting Stem and Leaf Diagrams - Examples With Solutions. Tutorial on how to read and interpret stem and leaf diagrams.
• Mean, Median and Mode. Examples with solutions.
• Standard Deviation. Examples with solutions.

Counting, Factorial, Permutations and Combinations

• Counting Problems With Solutions. Counting problems are presented along with their detailed solutions.
• Factorial Questions with Solutions. Tutorials on evaluating and simplifying expressions with factorial notation.
• Factorial Calculator. Calculate the factorial of a positive integer.
• Combinations Calculator. Calculate the number of combinations of n elements taken r at the time.
• Permutations Calculator. Calculate the number of permutations of n elements taken r at the time.
• Permutations and Combinations Problems. Permutations and combinations are used to solve problems

Probability Tutorials

• Introduction to Probability.
• Probability Density for Continuous Variable .
• Law of Total Probability Examples
• Bayes' Theorem Examples with Solutions
• Central Limit Theorem with Examples and Solutions
• Binomial Probabilities Examples and Questions
• Geometric Probabilities Distributions Examples
• Hypergeometric Probabilities Distributions Examples
• Poisson Probabilities Examples and Questions and Calculator
• Addition Rule for Probabilities.
• Multiplication Rule for Probabilities for Independent Events.
• Conditional Probabilities Examples and Questions
• Mutually Exclusive Events - Examples With Solutions.
• Probability Questions with Solutions. Several questions with solutions as well as exercises with answers.
• Tutorial on Discrete Probability Distributions Tutorial on discrete probability distributions with examples and detailed solutions.
• Binomial Probability Distribution Calculator An online calculator to calculate binomial probability distributions.
• Normal Distribution Probability Calculator An online calculator to calculate probabilities associated with normally distributed variables.

Statistics and Probability Problems

• Mean and Standard deviation - Problems with Solutions. Mean and standard deviation problems are presented. Problems related to data sets as well as grouped data are discussed.
• Statistics and Probability Problems with Solutions.
• Linear Regression - Problems with Solutions Linear regression and modeling problems are presented along with solutions.
• Normal Distribution Definition .
• Normal Distribution Problems with Answers. Problems and applications on normal distributions are presented along with their solutions.
• Data Analysis, Statistics and Probabilities
• Interactive Math Tools for Exploring Concepts and Theorems