Probability & Applied Statistics

Probability theory, distribution functions, confidence intervals, hypothesis testing, and regression.

Theory Modules

Study the theory, review the governing formula, and test your knowledge with interactive questions.

A confidence interval (CI) is an interval estimate for a population parameter constructed so that, under repeated ran...

The expected value E[X] of a random variable X is its probability-weighted average, equal to the long-run mean of man...

In engineering and quality control, hypothesis testing is a statistical method used to make data-driven decisions bas...

The normal distribution is a continuous probability distribution with a symmetric, bell-shaped probability density fu...

A probability distribution assigns a probability to each possible outcome of a random variable. Random variables are...

Probability is the branch of mathematics that quantifies uncertainty and measures the likelihood of events. It ranges...

Regression estimates how a dependent variable Y changes with independent variable(s) X. Simple linear regression mode...