# Probabilities and Statistics

**Chemical and Biochemical Engineering**

4.5 ECTS; 1º Ano, 2º Semestre, 30,0 T + 30,0 TP

**Lecturer**

- Luis Miguel Lindinho da Cunha Mendes Grilo

**Prerequisites**

Background knowledge of Calculus and Algebra.

**Objectives**

It is intended that students reach the curricular unit of Probability and Statistics learning the outcomes:

a) recover and consolidate knowledge of Probabilities;

b) acquire knowledge about random variables and about some theoretical distributions of Probability (discrete and continuous);

c) acquire knowledge and develop mathematical skills in the estimation (punctual and interval) and decision, as well as in the study of the relationship between two variables (correlation and linear regression);

d) use the knowledge acquired and the capacities developed to design and implement solutions to various problems applied, on conditions of uncertainty.

**Program**

1. Probability (axioms and theorems),

2. Discrete and continuous random variables;

3. Theoretical probability distributions (discrete and continuous);

4. Sampling(mean, variance and sample proportion)

5. Point and interval estimation parameters,

6. Parametric hypothesis tests (mean, variance and population proportion);

7. Correlation and simple linear regression.

**Evaluation Methodology**

Continuous assessment(two written tests); Exam assessment (one written test).

**Bibliography**

- , .(2007). *Estatística*. Lisboa - Portugal: McGraw-Hill

- , .(2004). *Introdução Computacional à Probabilidade e Estatística*. Porto - Portugal: Porto Editora

- , .(2013). *Probabilidades e Estatística. Conceitos Teórico-Práticos*. Instituto Politécnico de Tomar, Portugal: Instituto Politécnico de Tomar

- , .(2001). *Introductory Statistics*. New York: John Wiley & Sons, Inc.

**Method of interaction**

The teaching methodology of this curricular unit consists of theoretical classes with oral exposition, aided with notes and theoretical-practical classes, where several exercises that are in the exercise book are solved.

**Software used in class**

The Excel spreadsheet and the IBM SPSS statistical package are occasionally used to solve some exercises.