MTH 260 - Probability and Statistics I
A calculus-based course in probability and statistics. Topics include probability axioms, discrete and continuous random variables and their probability distributions, multivariate probability distributions, functions of random variables, and the Central Limit Theorem. A statistical software package such as Minitab or R will be used.
MTH 212 with a grade of C or higher OR MTH 211 AND MTH 220 each with a grade of C or higher.
Course Learning Outcomes
1. Apply probability results to solve application problems of different disciplines.
2. Classify random variables using appropriate mathematical terminology.
3. Determine the probability distributions of random variables.
4. Determine multivariate probability distributions.
5. Compute the parameters of random variables.
6. Use the parameters of random variables to solve probability problems.
7. Apply Chebyshev’s Theorem to provide meaningful bounds for probabilities of interest.
8. Calculate event probabilities by hand using calculus.
9. Calculate event probabilities using appropriate theorems.
10. Select the correct probability model for a given problem.
11. Apply theorems concerning the distributions of functions of random variables to probability problems.
12. Prove basic probability results.
Course Offered Fall; Spring; Summer