MATH 3122 Course Outline

MATH/STAT 3122: Probability and Statistics I

Week 1: Introduction to probability (sample spaces and events); basic operations between events (union, intersection, complement); properties of probability Week 2: Counting techniques (product rule, permutations, combinations) Week 3: Conditional probability; Law of Total Probability; Bayes’ rule; independence Week 4: Review; Midterm 1 Week 5: Random variable (rv); Discrete Random Variables; probability mass function (pmf) of a discrete rv Week 6: Cumulative Distribution Function (cdf) of a discrete rv; expected value of a discrete rv Week 7: Variance of a discrete rv; moments and moment generating function (mgf) of a discrete rv Week 8: Binomial experiment; Binomial distribution Week 9: Hypergeometric distribution; Negative Binomial distribution; Poisson distribution Week 10: Review; Midterm 2 Week 11: Probability density function (pdf) of a continuous rv; Cumulative distribution function (cdf) of a continuous rv; percentiles Week 12: Expected Value; variance; moments and moment generating function of a continuous rv; Normal distribution Week 13: Normal distribution (Continue); Exponential distribution Week 14: Transformation of a rv; Jointly Distributed random variables Week 15: Jointly Distributed random variables (Continue); Expected Values Week 16: Review; Final Exam