TAMS19	Probability and Statistics, first course, 8 ECTS-points /Matematisk statistik, grundkurs för TB/ Advancement level: B
	Aim: The course is intended to teach students to understand and use basic probability and statistical theory, that is the theory for dealing with random experiments. The emphasis is on developing the statistical background required for use in engineering, biology and other natural sciences. Prerequisites: Analysis, algebra, differential and integral calculus, power series and differential equations. Supplementary courses: TAMS 70 Statistics, second course TMQU 10 Quality technology TPPB 07 Production and Operations management TPPB 40 Manufacturing planning and control TMQU 17 Total quality control Course organization: Teaching consists of lectures, sessions of exercises, and obligatory computer exercises. Course content: Probability theory: Sample space, events and probabilities. Combinatorics. Conditional probabilities and independent events. Discrete and continuous random variables, their probability distributions, expectations and variances. Normal, exponential, binomial, Poisson distributions etc. Functions of random variables, covariance and correlation. Law of large numbers and the central limit theorem. Poisson process. Statistics: Point estimation. Properties of estimators. The method of maximum likelihood, the method of moments and the least squares method. Confidence intervals. Testing statistical hypotheses. Random vectors. Multivariate normal distribution. Multiple linear regression. Course literature: Please contact the department of mathematical statistics for information.
TEN1	Written examination, 2,5 p.
TEN2	Written examination, 2,5 p.
LAB1	Laboratory work, ,5 p.

Course language is swedish.