ECEn 370: Probability Theory Competencies

Competencies	Outcome
A basic understanding of probabilistic reasoning and the foundations of probability theory: sample spaces, event algebras, classical probability, and Kolmogorov's axioms.	Outcome 1
An understanding of random variables, distribution functions, probability mass functions, and probability density functions, including the uniform, binomial, Poisson, exponential, and Gaussian distributions.	Outcome 1
An understanding of multivariate distributions, independence, conditioning, and functions of random variables, including the ability to compute expectations, moments, and correlation functions.	Outcome 1
An understanding of characteristic functions and their relationship to linear transformations and independence.	Outcome 1
An understanding of convergence concepts, including the central limit theorem and the law of large numbers.	Outcome 1
The ability to apply probability theory to the analysis of engineering systems.	Outcome 1

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