# Probability and Statistics C

## Objectives

The main goal of this course is to teach inicial concepts about the statistics and probability. The students will be prepared to easily handle the requirements of a professional activity, concerning probabilities and statistics.

Regarding Probabilities it’s intended that students develop capacities to formulate problems concerning the results of random experiences.

Students should also be able to manipulate statistical techniques, in order to analyze parameters of a population such as Confidence Intervals and Hypothesis Testing. Students should also be able to use linear regression as a first approach to statistical modelling strategies.

## General characterization

10410

6.0

##### Responsible teacher

Regina Maria Baltazar Bispo

Weekly - 4

Total - 52

Português

### Prerequisites

`Basic knowledge in calculus and integration in R.`

### Bibliography

Montgomery, D. C. e Runger, G. C. (2002). Applied Statistics and Probability for Engineers, John Wiley and Sons.

Ross, Sheldon (1987). Introduction to Probability and Statistics for Engineers and Scientists. Wiley.

Mood, A. M., Graybill e Boes (1974). Introduction to the Theory of Statistics., McGraw-Hill.

Rohatgi (1976). An Introduction to Probability Theory and Mathematical Statistics. Wiley.

### Teaching method

Lectures with exposition of the subjects and resolution of application examples, accompanied by problem-solving practical lectures.

### Evaluation method

CONTINUOUS ASSESSMENT

Continuous assessment will be done through two tests.

The first Test will be carried out, in person, on 03/05/2023, at 17:00.

The second Test will be held, in person, on 17/06/2023, at 09:00.

The student obtains approval in the subject if he obtains a minimum grade of 7.5 values ​​in Test 2 and if the weighted average of the two tests is greater than or equal to 9.5 values. If a student fails to attend one of the tests, that test will be graded 0.

Grade Season 1 = 0.5 T1 + 0.5 T2 , with T2 >= 7.5 values

The student who obtains a final grade greater than or equal to 18.5 must take an oral exam to defend the grade (on a date to be agreed). If the student does not attend the oral test, the final grade will be 18.

APPEAL

The evaluation of the Season of Appeal is carried out by Exam, being valid both for grade improvement and for approval to the UC.

The student obtains approval in the discipline if he obtains a classification in the Exam greater than or equal to 9.5 values.

The student who obtains a final grade greater than or equal to 18.5 must take an oral exam to defend the grade (on a date to be agreed). If the student does not attend the oral test, the final grade will be 18.

## Subject matter

1. Basic notions of probability.

2. Random variables and their probability distributions.

3. Random vectors.

4. Some important distributions.

5. Central limit theorem.

6. Point estimation.

7. Interval estimation.

8. Hypothesis testing.

9. Simple linear regression.

## Programs

Programs where the course is taught: