Probability and Statistics tutorials

Mathgoodies

Probability Unit Lesson Access Introduction to Probability Free Certain and Impossible Events Free Sample Spaces Free The Complement of an Event Free Mutually Exclusive Events Free Addition Rules for Probability Free Independent Events Free Dependent Events Free Conditional Probability Free Practice Exercises Free Challenge Exercises Free Solutions

Stat Trek

Statistics and Probability

Descriptive Statistics

• Quantitative measures
  • Variables
  • Central tendency
  • Variability
  • Measures of position
• Charts and graphs
  • Patterns in data
  • Dotplots
  • Histograms
  • Stemplots
  • Boxplots
  • Cumulative frequency plots
  • Scatterplots
  • Comparing distributions
• Tabular displays
  • One-way tables
  • Two-way tables

Probability

• Probability basics
  • Sets and subsets
  • Statistical experiments
  • Counting data points
• Probability laws
  • Introduction to probability
  • Working with probability
  • Laws of probability
  • Bayes' rule
• Random variables
  • Types of random variables
  • Probability distributions
  • Random variable attributes
  • Combining random variables
  • Transforming random variables
• Sampling theory
  • Simple random sampling
  • Measures of central tendency
  • Measures of variability
  • Sampling distributions
  • Difference between proportions
  • Difference between means

Distributions

• Distribution basics
  • Probability distributions
  • Discrete vs. continuous
• Discrete
  • Binomial distribution
  • Negative binomial
  • Hypergeometric
  • Multinomial
  • Poisson
• Continuous
  • Normal distribution
  • Standard normal
  • Student's t distribution
  • Chi-square
  • F distribution

Hypothesis Testing

• Foundations of testing
  • Tests of significance
  • How to test hypotheses
• Mean scores
  • Hypothesis test of the mean
  • Difference between means
  • Difference between matched pairs
• Proportions
  • Test for a proportion
  • Proportions and small samples
  • Difference between proportions
• Power
  • Region of acceptance
  • Power of a test
  • How to compute power
• Chi-square tests
  • Goodness of fit
  • Test for homogeneity
  • Test for independence