Propedeutic Studies

Module Computer science

The course aims to acquire the main basic concepts of probability and statistics.

General teaching training objectives in terms of learning outcomes:

Knowledge and understanding: The course aims to acquire skills to students about the description of statistical data; Understand the basic terms (population, sample, variable, etc.); Calculation and presentation of frequency distributions; data description with graphical methods; Calculation of central tendency and variability indices; Understand the basis of the assessment of probability of an event and of a random variable; Acquiring concepts related to inferential statistics such as estimates for intervall confidence and hypothesis tests.
Applying knowledge and understanding: identify distributions appropriate to represent the knowledge underlying; solving problems of inferential statistics and probability.
Making judgments : Through concrete examples and case studies, the student will be able to independently develop solutions to specific problems and assess the suitability of a statistical inference problem and solution.
Communication skills: the student will acquire the necessary communication skills and expressive appropriateness in the use of technical language within the general framework of the analysis of data using statistical methods.
Learning skills: The course aims, as the goal, to provide students with the necessary theoretical and practical methods to address and solve problems independently in the statistical analysis of data.

•  Introduction to probability;
•  Events; 
• Definition of probability;
• Conditioned events; 
• Bayes Theorem; 
• Discrete Random Variables;
• Expectation, Variance, Covariance, Standard Deviation; 
• Bernoulli distribution; Binomial Distribution; Hypergeometric Distirbution; Negative Bionomial Distribution; Geometric Distribution; Poisson Distribution; 
• Continuos Random Variables;
• Uniform distribution; Exponoential Distribution; Gaussian Distribution; 
• Examples and excercices; 
• Introduction to Descriptive Statitiscs;
• The data, variables, variability, indeces; 
• Statistical Inference: parameter estimation, statistical tests; 
• Examples and excercies; 
• Introduction to R.