# Ma 405: Probability & Statistics II

Type of convergence in probability, law of large numbers, Chebyshev's inequality, central limit theory proven, development of point and interval estimates and hypothesis testing, regression, ANOVA, Chi square. Required calculator: TI 89 or Nspire CAS. Prerequisite(s): Ma 404. 3 Credits.

### Spring 2020 Course Information

- Instructor: Melissa Gardenghi
- Course Syllabus

#### Course Resources

- https://www.soa.org/globalassets/assets/files/edu/2019/fall/fall-2019-ltam-study
- Weekly Homework
- Unit Homework
- REVISED CLASS SCHEDULE - see Canvas for ongoing updates throughout the semester
- https://www.probabilitycourse.com/chapter13/Chapter_13.pdf

## Homework

Ch 6 (6.3-6.4) # 52, 53, 60

Ch 3 # 44, 45, 97, 101, 69, 71, 73, 76, 82, 104, 105, 107 ... for #105, 107: also compute all expected values, covariances, correlations, conditional expected values, marginal expected values (and anything else you can think of)

Ch 4 (4.6-4.8) # 46, 47, 49, 50, 51, 53

Ch 5 (5.8-5.9) # 83, 85-87

Ch 6 (6.7) # 43, 45, 46, 48, 49

Ch 7 # 1-8, 50, 51, 10-12, 16-18, 20, 22, 23, 28, 32-35, 38, 52, 59, 60, 63, 65, 67, 69, 70

Ch 8 # 46-48, 88, 52-54, 58

Ch 14 Loss Models (see link in Resources) (14.1-14.2) # 1-3, 7, 8a (only do mean and st dev), 9 (do mean and var instead)

Ch 13 (13.8) # 80-83

Ch 10 # 1, 5, 7, 11, 12, 80, 23, 24, 78, 25, 36, 37, 42-44, 78, 50, 52, 55, 84, 57, 87, 67, 88, 61, 62, 71, 92, 81, 83

Ch 12 # 1, 4, 6, 8, 31, 32, 9, 11, 12, 15, 16, 38, 20, 21, 44, 26, 39

Additional problems dependent on what time allows.