Skip to Main Content

Tutor Service: Probability

If you need help, check out this guide!

Probability

View all of the lessons shown on this page here

Probability

  • Estimating probabilities using simulation
  • Mutually exclusive events and unions of events
  • Conditional probability
  • Independent versus dependent events and the multiplication rule

Sampling distributions

  • The normal distribution, revisited
  • The central limit theorem
  • Biased and unbiased point estimates
  • Sampling distributions for sample proportions
  • Sampling distributions for differences in sample proportions
  • Sampling distributions for sample means
  • Sampling distributions for differences in sample means

Random variables and probability distributions

  • Introduction to random variables and probability distributions
  • Mean and standard deviation of random variables
  • Transforming random variables
  • Combining random variables
  • Introduction to the binomial distribution
  • Parameters for a binomial distribution
  • The geometric distribution

Inference for quantitative data: Means

  • Constructing a confidence interval for a population mean
  • Setting up a test for a population mean
  • Carrying out a test for a population mean
  • Confidence intervals for the difference of two means
  • Testing for the difference of two population means

Inference for categorical data: Proportions

  • Introduction to confidence intervals
  • Confidence intervals for proportions
  • The idea of significance tests
  • Setting up a test for a population proportion
  • Carrying out a test for a population proportion
  • Concluding a test for a population proportion
  • Potential errors when performing tests
  • Confidence intervals for the difference of two proportions
  • Testing for the difference of two population proportions