1. Construct and use sample spaces, learn simple counting methods and elementary set theory.
2. Understand and use Baye’s Theorem.
3. Apply definitions of probability, conditional probability.
4. Apply concepts of discrete random variables and probability distributions.
5. Use definite integrals to compute distribution functions and probabilities.
6. Use graphical methods for presentations of data.
7. Understand joint probability distributions.
8. Understand the concept of expectation and use to calculate the mean, variance and other moments of a random variable.
9. Use Chebyshev’s inequality to estimate probabilities.
10. Solve problems using uniform, binomial, multinomial, hypergeometric, Poisson and geometric discrete probability distributions.
11. Solve problems using normal, normal approximation to the binomial, gamma, exponential, and chi- square continuous probability distributions.
12. Use moment-generating functions to derive information about distributions.
13. Estimate various parameters such as mean, proportion and variance.
14. Analyze data and perform statistical tests.