STAT 355H - Introduction to Probability and Statistics for Scientists and Engineers-Honors (4)

This course is an introduction to probability, statistics and statistical computation for students who have knowledge of univariate calculus. Topics include set-theoretic and axiomatic introduction to probability; sample space; events; conditional probability; Bayes theorem; random variables; cumulative distribution functions; probability density functions; probability mass functions; moments and their properties including discussions on mean, variance and the moment generating function; standard univariate distributions such as the Bernoulli, Binomial, Poisson, Exponential; Gamma and Normal and their properties; the Central Limit Theorem (without proof) and its properties and use in statistics; introduction to the concept of randomness in observed data, estimation of unknown parameters, statistical inference and uncertainty quantification; estimation and inference in one and two sample means, proportions; contingency tables and tests for independence of row and column and equality of proportions; introduction to simple linear regression with estimation, inference, analysis of variance, plots and diagnostics. Statistical software like R or Python for estimation, inference and other statistical tasks will be used.

Grading: Graded/Satisfactory Unsatisfactory/Audit
Course ID: 101986
Consent: No Special Consent Required
Components: Discussion, Lecture
Course Equivalents: STAT 355
Prerequisite: MATH 152 with a grade of ‘C’ or better and admission to the Honors College.