Courses: Theory of Probability w/Apps (MATHB205001)
Class Number: 1296
The course analyzes repeatable "experiments," such as coin tosses or die rolls, in which the short-term outcomes are uncertain, but the long-run behavior is predictable. Such random processes are used as models for real-world phenomena to solve problems such as determining the effectiveness of a new drug, or deciding whether a series of record-high temperatures is due to the natural variation in weather or rather to climate change. Topics include: random variables, discrete distributions (binomial, geometric, negative binomial, Poisson, hypergeometric, Benford), continuous densities (exponential, gamma, normal, Maxwell, Rayleigh, chi-squared), conditional probability, expected value, variance, the Law of Large Numbers, and the Central Limit Theorem. Prerequisite: MATH B102 or the equivalent (merit score on the AP Calculus BC Exam or placement).
Div: II & Q; Approach: Quantitative Methods (QM); Haverford: Natural Science and Quantitative (NA/QU)
Enrollment Limit: 25; Enrollment Criteria: Freshman; Sophomore;
Junior; Senior; Major/Minor/Concentration;
Fulfills: Class Nbr: 1296 Div: II & Q; QM;