Conditional probability. Independent events.Sample Space partition. Total probability theorem.

30 Setembro 2014, 13:30 • Graça Leão Fernandes

Conditional probability: definition, multiplication rule.

Independent events.

Sample Space partition.

Total probability theorem.

---

Definitions of probability. Methods of enumeration.

29 Setembro 2014, 13:30 • Graça Leão Fernandes

Definitions of probability: relative frequency and subjective.

 Methods of enumeration:

  -  Multiplication principle;

  - non ordered and ordered samples;

  - sampling with and without replacement;

 - Permutations of n objects taken r at a time with and without replacement;

 - Combinations of n objects taken r at a time ;

 - Distiguishable permutation (multinomial and binomial coeficients);

  - Hipergeometric and binomial models.

---

Exercises from chapter 1

26 Setembro 2014, 15:30 • Graça Leão Fernandes

Solving exercises from chapter 1 nºs: 1, 2, 3, 4, 6, 8, 10

---

Measure of Probability. Komolgorov probability Postulates. Properties of the measure of probability. Interpretation of the concept of probability..

23 Setembro 2014, 13:30 • Graça Leão Fernandes

Measure of Probability.

Komolgorov probability Postulates.

Properties of the measure of probability.

Interpretation of the concept of probability: classical.

---

Introduction to Probability Theory

22 Setembro 2014, 13:30 • Graça Leão Fernandes

Population and sample: inductive inference, uncertainty and accuracy.

Definition of random experiment, sample space, event.

Sample space qualification: discrete finite and countable, discrete infinite and countable, continuous.

Algebra of events. Properties of operations over events. De Morgan Laws.

 

---