Elementary Statistics and Probability Tutorials and 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.

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

• 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