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Université Laval · Québec · undergraduate
Université Laval STT-1000 — Probability and Statistics
Build numerical probability and inferential foundations for Laval’s degree-level course. One-/two-population examples include independent Welch calculations; calculus-based densities are not reproduced.
52 original question families · 156 parameter instances
Practise this course →Course alignment and coverage
Official Laval activity description, level/credit-contribution note and published Fall 2026 information checked on 25 October 2026. A full current section plan and weekly order have not been verified.
Across this collection: 140 distinct original families and 420 parameter instances. Courses share topic banks; translations and shared mappings are not extra questions.
Supported learning objectives
Descriptive statistics
Calculate means, medians and weighted summaries.
Variance and standard deviation
Distinguish sample and population denominators and scale changes.
Probability
Use complements, independence and conditional probability.
Distributions
Use binomial and normal models under stated assumptions.
Sampling and standard error
Calculate standard errors and sample-size effects.
Confidence intervals for a mean
Calculate known-sigma z intervals; critical values are supplied.
Hypothesis tests for a mean
Calculate a known-sigma z statistic, p-value decision or critical boundary.
Two independent means
Compare independent means with known population standard deviations.
Proportions
Estimate a proportion and calculate a standard error or z interval.
Correlation and regression
Use a supplied least-squares line and interpret residuals and r².
One-sample and paired t
Use sample SD for a one-sample or paired t statistic, degrees of freedom and a margin with supplied t critical value.
Normal areas and quantiles
Use supplied rounded normal tables for complements, central areas, standardization and a percentile.
Independent two-sample Welch inference
Calculate unpooled SE, a Welch t statistic, fractional degrees of freedom and a CI endpoint using a supplied critical value.
What is not covered
Numerical foundations only. No statistical software labs, study-design assessment, graphs, bootstrapping/permutation simulation, ANOVA, multiple regression or regression inference. Critical values/table probabilities are supplied; normal-area exercises use rounded supplied tables. Welch examples are independent normal samples; paired t is a separate objective. Bivariate distributions and calculus-based density integrals are not covered. This degree-level activity differs from preparatory STT-0150.
An original worked example
Find the mean of 2, 4, 6, 8.
Worked solution
Answer: 5
- The total is 20.
- Mean=20/4=5.
Official course sources
Independent, original, free self-study practice. Not affiliated with or endorsed by this university; these are not official exam questions. Topic alignment does not establish transfer credit, a current section’s weekly syllabus, full course coverage or a grade prediction. Follow your instructor’s rules and use official course materials for assessed work. No live AI chat or paid access is required.