Probabilities and statistics

ECTS: 10
Department: TC
Degree level: 2^nd year of Bachelor
Teaching contact hours: 10 × 1.5 h
Instructor: Jean-François FERRARIS

Learning objectives

• Develop logical reasoning and quantitative problem-solving skills relevant to business and marketing applications.
• Apply counting techniques to solve practical problems, model random experiments using elementary probability concepts, uding counting or not).
• Compute conditional probabilities in various contexts.
• Identify and use appropriate probability distributions (Binomial, Poisson, and Normal) to model random phenomena: (discrete or continuous).
• Test the conformity of an observed distribution, in comparison to a probabilistic model.

Course topics

• Probabilities : Counting, random experiment, events, simple probabilities, conditional probabilities (including independent events)

• Probability distributions. Random variable (including expectation and standard deviation), discrete distributions (hypergeometric, binomial, Poisson), and a continuous distribution: the normal law

• Chi-square test. Test of a statistical distribution, in various centexts, in comparison to a given one or to a logical probabilistic one (to be found)

Teaching method

• Analysis of a particular situation, from an example – results and lesson – guided short exercices and problem-solving – individual and group exercises – conclusion by an online quiz while beginning the next session

Assessment

• Two written individual evaluations, in addition to the quiz marks

• During an evaluation: select the appropriate tool (counting, probability, distribution), justify a choice, solve quantitative problems accurately

Entry requirements

• Notions of descriptive one-variable statistics, familiarity with a scientific calculator.