HAV220X - Probabilities for life sciences
1st year B.Sc, Montpellier Faculty of Sciences, 2025
Documents
Link to all ressources on Moodle.
Contents
1) Basic set theory and logic
- Sets and set operations
- Simple formalization of logical statements
- Applications to everyday reasoning
2) Introduction to probability
- Vocabulary and basic rules of probability
- Probability tables and trees
- Conditional probability
- Real-life examples: stratified populations, diagnostic tests (sensitivity/specificity)
3) Discrete probability models
- Main discrete distributions: binomial, geometric, Poisson
- Applications to real problems
- Heuristic approach to independence
- Tools to compute expectation and variance
4) Numerical simulations and approximations
- Simulating random variables and observing fluctuations
- Visualizing convergence of the binomial distribution
- Approximations by the normal and Poisson distributions
Main responsibles: Benoite de Saporta & Elodie Brunel