Math 461/561: Introduction to Mathematical Methods of Statistics I

• Time and Place: 10:00 MWF, Fenton 117
• CRN: 13820 (Math 461) and 13829 (Math 561)
• Textbook: Introduction to Probability and Statistics by Walter A. Rosenkrantz, published by McGraw-Hill, 1997
• Final Exam: 15:15 - 17:15, Tues, Dec 8, 117 Fenton
• Office Hours:
  Mon 11:00 - 12:00, 15:00 - 15:50, Tue 11:00 - 12:00, 15:00 - 16:00
  Wed 11:00 - 12:00, 15:00 - 16:00, Friday 11:00 - 12:00
• Office Phone: 346-4701

Grading Policy

Your course grade is a weighted average of the following three performance scores: homework and quizzes (30%), midterm exam (30%) and final exam (40%).

Course Grade

Homework Assignments and Topics for the class

• Mon, 9/28: Introduction
  Read: Sections 1.1-1.3
  Homework: No homework
• Wed, 9/30: Displaying distributions with graphs
  Read: Section 1.4
  Homework: 1.5, 1.12, 1.13
• Fri, 10/2: Measuring center and spread
  Read: Section 1.5
  Homework: 1.18, 1.27(a), 1.28,

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• Mon, 10/5: Measures of location and variability
  Read: Section 1.6
  Homework: 1.37, 1.43, 1.44,
• Wed, 10/7: Sample space, events, axioms of probability
  Read: Section 2.2
  Homework: 2.1, 2.2, 2.9, 2.11
• Fri, 10/9: Mathematical models of random sampling
  Read: Section 2.3
  Homework: 2.12, 2.17, 2.21

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• Mon, 10/12: Conditional probability
  Read: pages 79-82
  Homework: 2.29, 2.30, 2.31
• Wed, 10/14: Bayes's theorem and independence
  Read: pages 82-85
  Homework:
• Fri, 10/16: Discrete random variables
  Read: Section 3.2
  Homework: 3.1, 3.5, 3.10,

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• Mon, 10/19: Discrete random variables
  Read: Section 3.2
  Homework: 3.1, 3.5, 3.10,
• Wed, 10/21: Expected value
  Read: Section 3.3, pages 101-108
  Homework: 3.13, 3.15, 3.20, 3.22, 3.26, 3.27 (Due Monday, 10/26)
• Fri, 10/23: Variance and hypergeometric distribution
  Read: Sections 3.3-3.4, pages 109-118
  Homework: Refer to the homework on 10/21

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• Mon, 10/26: Binomial and Poisson distributions
  Read: Sections 3.5, 3.6
  Homework: 3.30, 3.34, 3.41
• Wed, 10/28: Continuous random variables
  Read: Section 4.2
  Homework: 3.45, 3.52, 3.57, 3.59
• Fri, 10/30: Expected values and variances
  Read: Section 4.3
  Homework: 4.2, 4.7, 4.10

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• Mon, 11/2: Normal distribution
  Read: Section 4.4
  Homework: 4.14 (a)(c)(f), 4.17 (a) (d), 4.22 (a) (e) (i)
• Wed, 11/4: Other continuous distributions
  Read: Section 4.5
  Homework: 4.25, 4.32, 4.38, 4.40
• Fri, 11/6: Functions of a random variable and sums of random variables
  Read: 4.47, 4.52, 4.56, 4.57
  Homework:

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• Mon, 11/9: Sampling from a normation distribution
  Read: Section 6.2
  Homework: 6.2, 6.4, 6.5
• Wed, 11/11: Midterm Exam
• Fri, 11/13: Point estimation of the mean and variance
  Read: Section 7.2
  Homework: 6.11, 7.4, 7.5,

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• Mon, 11/16: Confidence interval for the mean
  Read: Section 7.3, pages 248-252
  Homework: 7.1 (a) (b), 7.7 (a)
• Wed, 11/18: Confidence interval for mean
  Read: Section 7.3, pages 252-255
  Homework: 7.3, 7.8, 7.13, 7.16 (a),
• Fri, 11/20: Point and Interval estimation for a population proportion
  Read: Section 7.5
  Homework: 7.32, 7.34, 7.35

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• Mon, 11/23: Tests of statistical hypothesis
  Read: Section 8.2, pages 280-295
  Homework: 8.1, 8.2, 8.4
• Wed, 11/25: Tests of statistical hypothesis
  Read: Section 8.2, pages 296-303
  Homework: 8.7, 8.8, 8.14, 8.16
• Fri, 11/27: Thanksgiving Break, Enjoy your turkey or appropriate vegetarian substitute

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• Mon, 11/30: Tests concerning the parameter p
  Read: Section 9.2
  Homework: 8.20, 9.5 (b) (c), 9.6, 9.7
• Wed, 12/2: Review
  Read:
  Homework:
• Fri, 12/4: Review

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• Final Exam: 15:15-17:15, Tues, Dec 8, 117 Fenton