STATS 210 introduces the theory that underlies the statistical methods used in practical statistics courses. Topics studied: • The essentials of probability – Sample space and random variables – Conditional probability – Bayes’ theorem and the Law of Total Probability • The foundations of statistical inference – Hypothesis testing – Likelihood and estimation – Expectation and variance • Discrete and continuous random variables – Probability mass functions for discrete data – Probability density functions for continuous data • The Central Limit Theorem