Mathematical Statistics I

Catalog description

The course will include coverage of various statistical concepts including probability distributions, sampling distributions, moment generating functions, expectation and independence. Upon successful completion of the Mathematical Statistics I course, the students should be able to: (1) Compute probabilities involving derivatives and integrals, both by hand and using appropriate technology. (2) Identify real-world situations which can be modeled using probability distributions. (3) State the rules that probability distributions must obey and use these rules for solving calculus problems. (4) State mathematical properties governing statistical independence and use these properties to solve calculus problems and to make statistical calculations (e.g., covariance). (5) Determine the appropriate probability distribution to describe a given situation and use this probability distribution to analyze problems. (6). Model and solve applied problems using discrete and continuous probability distributions using calculus.