# ST1101 - Probability and Statistics

### Examination arrangement

Examination arrangement: School exam

Evaluation Weighting Duration Grade deviation Examination aids
School exam 100/100 4 hours C

### Course content

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

Lectures and compulsory exercises. Written final examination is the basis for the grade awarded in the course. The re-sit examination may be given as an oral examination.

• Exercises

### Further on evaluation

In the case that the student receives an F/Fail as a final grade after both ordinary and re-sit exam, then the student must retake the course in its entirety. Submitted work that counts towards the final grade will also have to be retaken. For more information about grading and evaluation, see «Teaching methods and activities».

### Specific conditions

Compulsory activities from previous semester may be approved by the department.

### Course materials

Will be announced at the start of the course.

### Credit reductions

Course code Reduction From To
ST0101 7.5
MNFST101 7.5
MNFST001 7.5
TMA4240 3.7
TMA4245 3.7
ST6200 7.5
SIF5060 3.7
SIF5062 3.7
SØK1004 1.5
ST0202 3.7
MNFSIB1 3.7
ST0103 3.7
MET1002 7.5
More on the course

Facts

Version: 1
Credits:  7.5 SP
Study level: Foundation courses, level I

Coursework

Term no.: 1
Teaching semester:  SPRING 2022

Language of instruction: -

Location: Trondheim

Subject area(s)
• Statistics
Contact information
Course coordinator: Lecturer(s):

Department of Mathematical Sciences

# Examination

#### Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Spring ORD School exam 100/100
• * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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