Ma 442: Probability & Statistics II

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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 441. 3 Credits.

Spring 2024 Course Information

Instructor: Melissa Gardenghi
Course Syllabus

Course Resources

Tentative Course Content and Recommended Homework Problems

The tentative plan for covering course content includes the following sections (in roughly the given order). Recommended problems from the book are provided for each chapter.

Unit 1 Advanced Single Variate/Multivariate

Ch 6: Sections 3-4
# 52, 53, 60

Ch 3: Sections 5-7
# 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: Sections 6-8
# 46, 47, 49, 50, 51, 53

Ch 5: Sections 8-9
# 83, 85-87

Ch 6: Section 7
# 43, 45, 46, 48, 49

Unit 2 Functions of RVs and Sampling Distributions

Ch 7: Sections 2-5
# 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: Sections 2-7
# 46-48, 88, 52-54, 58

Unit 3 Modeling and Assessing Distributions

Simulation - see Introduction to Simulation Using R by Rakhshan and Pishro-Nik

Ch 14 Loss Models (see link in Resources): Sections 1-2
# 1-3, 7, 8a (only do mean and st dev), 9 (do mean and var instead)

Ch 13: Section 8
# 80-83

Ch 10: Sections 2-6, 7, 8
# 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 11 - overview/review