Course

Probability and Statistics 1 (STA100)

The course gives an introduction to descriptive statistics and basic probability theory for discrete and continuous probability models. Further the course gives an introduction for hypothesis testing, confidence intervals and basic methods for statistical analysis of data.


Dette er emnebeskrivelsen for studieåret 2016-2017. Merk at det kan komme endringer.

See course description and exam/assesment information for this semester (2024-2025)

Semesters

Fakta

Emnekode

STA100

Vekting (stp)

10

Semester undervisningsstart

Spring

Undervisningsspråk

Norwegian

Antall semestre

1

Vurderingssemester

Spring

Content

The course gives an introduction to descriptive statistics and basic probability theory for discrete and continuous probability models. Introductory theory for estimation and for statistical hypothesis testing in the most common situations is presented. Emphasis is made on both theoretical understanding and applications.

Topics covered: Introduction to basic probability theory, included conditional probability, expectation, variance and the most common probability distributions like binomial, hypergeometric, poisson, exponential and normal. An introduction to point estimation, confidence intervals and hypothesis testing in situations with one and two samples. An introduction to correlation, linear regression and analysis of variance. Non-parametric methods and statistical process control. Use of software. 

Learning outcome

After having completed the course one should:
  • Be able to use basic methods for analysis and presentation of data.
  • Be able to do basic probability calculations
  • Know what a random variable, probability distribution, expectation and variance is
  • Be able to calculate expectation, variance and probabilities for random variables and simple functions of random variables
  • Be able to use basic probability distributions like binomial, poission, hypergeometric, exponential  and normal
  • Know of the central limit theorem
  • Know how to estimate and calculate confidence intervals for some important parameters in probability distributions
  • Have a basic understanding of hypothesis testing and be able to perform hypothesis testing in some simple situations
  • Know the theory for, and be able to use correlation, regression analysis and simple analysis of variance.
  • Know the assumptions for the various methods.
  • Know some methods for non-parametric statistical analysis
  • Know some basic methods for statistical process control.

Forkunnskapskrav

Mathematical methods 1 (ÅMA100)
or equivalent courses.

Exam

Form of assessment Weight Duration Marks Aid Exam system Withdrawal deadline Exam date
Written exam 1/1 4 Hours Letter grades No printed or written materials are allowed. Approved basic calculator allowed


Vilkår for å gå opp til eksamen/vurdering

Five compulsory assignments, Six compulsory assignments, Two compulsory assigned exercises, Three compulsory exercises, one of them computer exercise.
Compulsory exercises have to be approved in order to take an examination.

Fagperson(er)

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Jan Terje Kvaløy

Method of work

Six hours lectures and two hours problem solving per week. Mandatory work demands (such as hand in assignments, lab- assignments, projects, etc) must be approved by subject teacher three weeks ahead of examination date.

Overlapping

Emne Reduksjon (SP)
Probability and Statistics 1 (STA100_1) , Introduction to Probability and Statistics (ÅMA110_1) 5

Åpent for

Mathematics - One Year Foundation Programme at the Faculty of Science and Technology. Bachelor studies at the Faculty of Science and Technology. Master studies at the Faculty of Science and Technology.

Emneevaluering

Form and/or discussion

Litteratur

Gunnar Løvås: Statistikk for universiteter og høgskoler. Latest edition. Chapter: 1 - 10.
The course description is retrieved from FS (Felles studentsystem). Version 1