Probability and Statistics

201 - SN1 - RE

Course Description

This course is designed to provide students with the knowledge and skills needed to understand and interpret statistical data. Students will learn to collect, analyze, and interpret data, as well as to use probability to make predictions. They will also learn to use statistical tools to analyze data and to make informed decisions based on the data. The course will cover topics such as probability, data analysis, and inferential statistics.

Ponderation

2-1-2

Course Competencies

Use descriptive statistical methods to process data.

  • Appropriate use of statistical vocabulary
  • Appropriate representation of a frequency distribution in the form of a table or graph
  • Appropriate calculation of measures of central tendency, variability and position
  • Accurate interpretation of tables, graphs and measurements

Use probability concepts in aleatory situations.

  • Correct use of counting techniques (permutations, arrangements, and combinations)
  • Exact calculation of the probability of an event (probabilities of dependent events, probabilities of independent events, conditional probabilities)
  • Accurate probability distribution of discrete and continuous variables
  • Correct resolution of problems involving the laws of probability (Laws of probability: binomial distribution and normal distribution)

Use statistical inference methods to characterize a population.

  • Accurate recognition of conditions for applying the Central Limit Theorem
  • Accurate interpretation of the margin of error
  • Accurate estimation by confidence interval (confidence interval estimation for the: mean of a large sample $(n ≥ 30)$, mean of a small sample (n<30), and proportion of a large sample $(n ≥ 30)$)
  • Correct resolution of hypothesis testing (hypothesis tests for the mean of a large sample (n ≥ 30), mean of a small sample (n<30), and proportion of a large sample (n ≥ 30))
  • Correct resolution of problems calling for the use of statistical inference methods

Determine the nature and intensity of the relationship between two variables.

  • Accurate determination of the equation of the regression line
  • Accurate interpretation of the coefficients (linear correlation coefficient and coefficient of determination)
  • Correct resolution of problems involving the concept of a regression line
  • Accurate determination of the dependency relationship between two qualitative variables
  • Correct resolution of problems involving the chi-square test of independence