course-details-portlet

ST6101

Probability and Statistics

Choose study year
Credits 7.5
Level Further education, lower degree level
Course start Spring 2025
Duration 1 semester
Language of instruction Norwegian
Location Trondheim
Examination arrangement School exam

About

About the course

Course content

This course is equivalent to ST1101, adapted to further education.Sample space and events. Uniform probability model. The probability axioms. Probability laws. Conditional probability. Independence. Combinatorics. The urn model. Random variables. Definition of the integral. Mean value, variance and standard deviation. Discrete and continuous univariate probability distributions. Transformation of random variables. Discrete and continuous bivariate distributions. Covariance and correlation. Independent random variables. Conditional expectation. Moment and cumulant generating functions. Order statistics. Binomial and hyper-geometric distribution. Geometric, Poisson, exponential and normal distribution. The central limit theorem. Introduction to point estimation, interval estimation and hypothesis testing. Litt om programpakker i statistikk.

Learning outcome

1. Knowledge. The student has a firm knowledge in probability and statistical distributions as a basis for statistical inference. Further the student knows and understands central statistical concepts such as estimation, confidence interval and hypothesis testing.

2. Skills. The student is able to recognise statistical standard situations and knows how these best can be analysed. Further the student is able to perform statistical inference for normal distributed data and is able to communicate with statisticians in more complicated situations.

Learning methods and activities

Compulsory exercises and physical or digital gatherings (agreed upon at the start of the semester with the students). Written final examination is the basis for the grade awarded in the course.

Parts of this course can be taught in English.

Compulsory assignments

  • Exercises

Further on evaluation

The re-sit examination may be given as an oral examination. The retake exam is in August.

Specific conditions

Admission to a programme of study is required:
KOMPiS Matematikk DELTA (KDELTA)

Course materials

Will be announced at the start of the course.

Subject areas

  • Statistics

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences

Department with administrative responsibility

Section for quality in education and learning environment

Examination

Examination

Examination arrangement: School exam
Grade: Letter grades

Ordinary examination - Spring 2025

School exam
Weighting 100/100 Examination aids Code C Date 2025-06-03 Time 15:00 Duration 4 hours Exam system Inspera Assessment
Place and room for school exam

The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.

Sluppenvegen 14
Room SL311 grønn sone
3 candidates

Re-sit examination - Summer 2025

School exam
Weighting 100/100 Examination aids Code C Duration 4 hours Exam system Inspera Assessment
Place and room
The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.