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MTHE 351 Probability I Units: 3.50
Introduction to probability theory and its applications in engineering science: basic concepts of probability, counting, conditional probability, Bayes' rule, independence; probability models; random variables, distribution functions, probability mass functions, probability density functions; expectation, variance, moments; jointly distributed random variables; transformations of random variables. Distributions: Bernoulli, binomial, geometric, negative binomial, Poisson, uniform, exponential, normal. Applications: elementary stochastic processes, noisy communication channels.
(Lec: 3, Lab: 0, Tut: 0.5)
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites:
Corequisites: MTHE 280
Exclusions: STAT 251
Offering Term: F
CEAB Units:
Mathematics 20
Natural Sciences 0
Complementary Studies 0
Engineering Science 22
Engineering Design 0
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Computing the probability density function of a function of a random variable.
- Computing probabilities of events defined by random variables and computing moments of random variables.
- Computing joint probability density functions of random variables.
- Computing joint probability density functions of random variables.
- Reasoning probabilistically in order to solve problems of quality control.
- Rigorously establishing relations between probabilities or conditional probabilities of various events.