STA113 -- Calendar

Topics are organised by week. Numbers refer to sections in the textbook. The schedule could change during the course of the semester.

Week:

  1. Introduction: probability
    Uncertainty and probability; probability for equally likely outcomes.
    Events, axioms of probability, addition law.
    3.1-3.4

  2. Conditional probability
    Conditional probability and independence. Multiplication law.
    Law of total probability. Probability trees, some counting rules. Bayes Rule.
    3.5-3.8
    Homework 1. Due Mo. Sep. 7.

  3. Random variables
    Random variables. Expected values.
    Bernoulli and Binomial random variables. Properties. Applications.
    Geometric and Negative Binomial. PDF and CDF for the discrete and continuous cases.
    4.1-4.6; 4.8-4.9;
    Homework 2. Due Mo. Sep. 14.
    Midterm 1 on We Sept 16.

  4. Poisson distribution.
    4.10.
    Homework 3. Due Sept. 21.

  5. Continuous random variables.
    5.1-5.9; 6.3
    Homework 4. Due Sept. Sept 28.

  6. Many random variables
    Joint distributions. Marginals. Conditionals. Bayes rule for random variables.
    Independence. Covariance. Expected value and variance of linear functions.
    6.1-6.2; 6.4-6.7
    Homework 5. Due Oct. 5.

  7. The Normal distribution. Central Limit Theorem. Estimation.
    The Normal Distribution. Central Limit Theorem
    Point estimators. Interval estimators.
    7.5; 8.1-8.5
    No class October 12 (fall break)
    Homework 6. Due Oct. 14.

  8. Review and Midterm 2.

  9. Testing.
    Formulation of the problem. Type I and Type II errors.
    Testing a population mean.
    Testing the difference of two population means.
    Testing a population proportion.
    9.2 - 9.10. ( NOT 9.11-9.13)

  10. Estimation.
    Point and interval estimation.
    Estimating a population mean.
    Estimating the difference between two population means.
    Estimating a population proporition.
    8.1, 8.3-8.6; 8.8.