Course program
1) Introduction to probability
1.1) Random experiment
1.2) Probability spaces and axioms
1.3) Conditional probability
2) Random variables
2.1) Definition of a random variable
2.2) Cumulative distribution e probability density functions
2.3) Conditional distributions and densities
2.4) Trasformation of random variables
2.5) Synthetic characterization of random variables
3) Main random variables
3.1) Gaussian and related random variables
3.2) Uniform random variables
3.3) Bernoulli random variables
3.4) Binomial random variables
4) Probability, information, and applications
4.1) Entropy of a random variable
4.2) Applications to wireless communications
4.3) Applications to detection and estimation
