Sumários

15 Outubro 2015, 15:30 • Graça Leão Fernandes

Exercices from chapter 2 nºs 12 a), 13, 14, 18, 22

15 Outubro 2015, 15:30 • Agnieszka Bergel

ex with probability density fucntion, cumulative distribution function.

14 Outubro 2015, 15:30 • Graça Leão Fernandes

Distribution function technique - examples:

- X is a continuous random variable and Y is an increasing function of X and continuous;

- X is a continuous random variable and Y is a decreasing function of X and continuous ;

- X is a continuous random variable and Y is a mixed random variable;

- X is a continuous random variable and Y is a discrete random variable.

K dimensional random variables:

- definition;

- Two dimensional random variables:

- Joint cumulative distribution function;

- Computing probabilities of spaces in R2 using the Joint cumulative distribution function;

- Marginal cumulative distribution functions of X and Y - interpretation and computation.

12 Outubro 2015, 13:30 • Graça Leão Fernandes

Discrete random variables:

- example of probability functions and CDF of a discrrete random variable when Dx is an infinite though countable set.

Continuous random variables:

- probaility density function:

- definition;

- interpretation;

- computation - probability of intervals in R.

Distribution function technique:

- the problem - Finding the cdf of random variable Y - function of X when the cdf of X is known;

- discrete to discrete random varibles - example;

- generalisation of the procedure.

8 Outubro 2015, 15:30 • Graça Leão Fernandes

Exercises from Chapter 2 nºs 1, 3, 8, 10b)

Exercises from the book (pg 72) nºs 3.1, 3.4, 3.11.

1st Mini test