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MATH 385. PROBABILITY AND STATISTICAL INFERENCE I. 5 Credits.

Pre-requisites: MATH 163 and MATH 225 or permission of the instructor.
This course introduces mathematical theory of probability and statistical inference. This includes proofs of simple theorems, applications of probability to real world problems, discrete and continuous random variables and their probability distributions, sampling distributions and the central limit theorem, basic properties of estimators including bias, constructions of confidence intervals and hypothesis tests.