MAT 271E - Probability and Statistics

Course Objectives

Understanding the necessary methods and techniques of probability and statistics by engineering students and becoming confident in interpreting experimental and scientific data in engineering applications.

Course Description

Product rule, permutation, combination, concept of Probability (Kolmogorov axioms), conditional probability and independency, random variables, Probability density function, distribution function, discrete disributions: Bernoulli, Binomial, Poisson, continuous distributions: Normal, Gamma, Exponential, Expectation, Moment generating function, mean, variance, standart 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.