EEF 271E - Probability and Statistics

Course Objectives

Solve permutation and combination problems.
Grasps the probability, conditional probabilities and random variables concepts.
Solving real life problems in the engineering by using statistical methods.
Understand the details about the probability functions and apply them to engineering problems.
Compute the measures of central tendency and dispersion.
Understand the statistical tests.
Construct One and two sample test for means and do the test.
Learn and apply regression analysis

Course Description

Counting techniques, permutation and combination problems
Probability and conditional probability
Random variables, Probability density function
Distribution function
Discrete distributions: Bernolli, Binom, Poisson
Continuous distributions: Normal, Gamma, Exponential
Expectation, Moment generating function
Measures of central tendency and dispersion, Chebchev’s inequality
Estimators and properties
Maximum likelihood estimators
Confidence intervals and hypothesis testing
One and two sample test for means
One and two sample test for means
Regression analysis