A . Probabilities
I. Basic concepts
1. Random experience and events
2. Notion of probabilities
3. Conditional probabilities
4. Bayes formula
5. Independence
6. Count formulas
II. Random variables
1. Discrete random variables
2. Continuous random variables
3. Approximations
4. Linea transformation of a random variable
III. Multi-dimensional random variables
1. Two-dimensional random variables
2. Independence
3. Covariance
4. Properties of expectation and variance
5. Properties of independent random variables
B. Statistical inference
1. Sampling theory
2. Statistical estimation
a) Precise estimate
b) Confidence intervals
3. Hypothesis testing
3.1. Test of comparison to a standard
3.2. Distribution parameter comparison tests (average and variance)
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