First Course in Probability and Statistics

Recommended prerequisites: University level mathematics course, for example MS-A000X Matrix algebra or MS-A010X Differential and integral calculus 1.

After course the student
- can compute probabilities of composite events by applying operations of set theory
- is familiar with the most important discrete and continuous probability distributions and recognizes situations that can modeled with them
- can apply joint distributions to compute statistics of random vectors and to recognize when two random variables are stochastically independent
- knows methods for estimating the parameters of a statistical model
- can compute posterior distributions and make conclusions based on them
- can explain what can and what cannot be concluded from a p-value of chosen statistical test
- can use a computer to investigate data sets and probability distributions

Teaching Language: Finnish

Teaching Period: 2024-2025 Spring IV
2025-2026 Spring IV