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MTHE 353 Probability II Units: 3.00
Intermediate probability theory as a basis for further study in mathematical statistics and stochastic processes and applications; probability measures, expectations; modes of convergence of sequences of random variables; conditional expectations; independent systems of random variables; Gaussian systems; characteristic functions; Law of large numbers, Central limit theory; some notions of dependence.
(Lec: 3, Lab: 0, Tut: 0)
(Lec: 3, Lab: 0, Tut: 0)
Requirements: Prerequisites: STAT 251 or MTHE 351 (STAT 351), APSC 174, MTHE 281 (MATH 281)
Corequisites:
Exclusions:
Offering Term: W
CEAB Units:
Mathematics 26
Natural Sciences 0
Complementary Studies 0
Engineering Science 10
Engineering Design 0
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Computing probabilities of events defined by random variables.
- Reasoning probabilistically in order to solve problems of sampling with or without replacement.
- Using mathematics in order to estimate the probability of certain events.
- Rigorously proving results in probability theory using tools from mathematical analysis.