MAT 271E - Probability and Statistics

Course Objectives

Inform and teach to engineering students the main probability and statistical methods with techniques for gaining interpretation of their interesting area data.

Course Description

Product rule, permutation, combination, concept of probability (Kolmogorov axioms). Conditional probability and independency. Random variables. Probability density function. Distribution function. Discrete distributions; Bernoulli, Binomial, Poisson. Continuous distributions; Normal, Gamma and Exponential. Expectation, moment generating function, mean, variance, standard deviation, covariance, correlation, Chebchev’s Inequality. Estimator and its properties. Maximum likelihood estimators. Confidence intervals, Hypothesis testing. One and two sample test for means, Regression.