Announcements
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The final exam is Friday, December 11. It will cover all the topics covered in homework assignments, that is, Chapters 1, 2, 3, 4.1-4.2, 5, 6.1-6.5. As a practice exam, solve the following problems: 1.7.21, 2.7.21, 2.7.47, 2.7.81, 3.5.9, 4.7.5, 5.6.29, 6.7.5, 6.7.13, 6.7.35. Also review your graded homeworks, examples and theorems in the text, and lecture notes. If you want even more practice problems, try 1.7.17, 2.7.22, 2.7.82, 3.5.14, 5.6.28, 6.7.12, 6.7.34.
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A handout on continuous and discrete distributions Updated to include the formulas for the concrete distributions which appeared in the course.
Homework
The starred problems are due in class on the date indicated; the other problems are for practice, but do not need to be turned in. Remember that for a problem to get full credit, both the correct answer and good justification for it are necessary.
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Homework 12, not to be turned in.
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Read sections 4.1-4.4.
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Section 4.7, problems 1, 3, 5, 7, 9, 19, 21, 23.
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Homework 11, due December 3 (if you want it returned on December 8), otherwise due December 8.
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Read sections 6.4-6.5, 4.1-4.3.
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Section 6.7, problems 21, 22*, 29, 30*, 31, 32*, 33, 34*, 35, 36*, 39, 40*, 43, 44*, 45, 46*.
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Homework 10, due November 24.
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Read sections 6.1-6.4.
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Section 6.7, problems 1, 2*, 3, 4*, 5, 6*, 7, 9, 10*, 11, 12*, 13, 14*, 15, 16*, 17, 18*.
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The second midterm exam was Tuesday, November 10. It covered Chapter 3 and sections 5.1-5.3 of the textbook. Solutions are posted on eCampus. The exam mean was 82.
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Homework 9, due November 17. You should solve problems 21-28 on this assignment before the exam on November 10, but you do not need to turn them in until the following week.
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Read sections 5.3-5.5.
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Section 5.6, problems 21, 22*, 23, 24*, 27, 28*, 31, 32*, 33, 34*, 35, 36(a,c,d)*, 39, 40*.
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Homework 8, due November 3. Note that this week, there are odd-numbered problems which should also be turned in.
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Read sections 5.1-5.3.
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Section 5.6, problems 1, 2*, 3, 4*, 5*, 7, 8*, 9, 10*, 12*, 13, 15*, 16*, Extra problem.
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Extra problem. Let f(x) = (1 + a x)/2 for -1 ≤ x ≤ 1 and f(x) = 0 otherwise, where -1 ≤ a ≤ 1. Show that f is a density function, and find the corresponding distribution function. Find the median of this distribution in terms of a.
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Homework 7, due October 27.
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Read sections 3.3-3.4.
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Section 3.5, problems 34*, 35, 38*, 39, 40*, 41, 52*, 53, 56*, 57, 58*, 59, 60*, 61, 62*, 63, 64*.
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Homework 6, due October 20.
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Read sections 3.1-3.3.
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Section 3.5, problems 3, 4*, 5, 6*, 7, 8*, 9, 12*, 13, 14*, 19, 20*, 21, 22*, 25, 26*, 27, 28*, 30*, 31.
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The first midterm exam was Thursday, October 8. It covered Chapters 1 and 2 of the textbook. Solutions are posted on eCampus. The exam mean was 71.
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Homework 5, due October 6.
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Read sections 2.4-2.6.
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Section 2.7, problems 52*, 53, 54*, 55, 56*, 61, 62*, 63, 64*, 65, 66(a)*, 73, 74*, 77, 78*, 79, 80*, 82*.
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Homework 4, due September 29.
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Read sections 2.3-2.4.
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Section 2.7, problems 37, 38*, 39, 40*, 41, 42*, 43, 44*, 45, 46*, 47, 48*, 49, 50*, 51.
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Homework 3, due September 22.
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Read sections 2.1-2.3.
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Section 2.7, problems 1, 2*, 3, 4*, 8*, 9, 10*, 11, 14*, 15, 16*, 17, 18, 21, 22*, 25, 26*, 28*, 29, 30*, 31. Problem 34 is now declared``extra credit''.
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Homework 2, due September 15.
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Read sections 1.4-1.6.
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Section 1.7, problems 35, 36*, 37, 38*, 40*, 41, 42*, 43, 48*, 49, 50*, 51, 52*, 55.
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Homework 1, due September 10 (rather than September 8).
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Read sections 1.1-1.4.
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Section 1.7, problems 3, 4*, 5, 8*, 9, 10*, 11, 14*, 17, 18*, 20*, 21, 22*, 23, 24*, 25, 26*, 27, 28*, 31.
Professor: Michael Anshelevich, Blocker 533D.
Office hours: M 2-3:30 p.m., R 12:40-2:10 p.m., or by appointment.
Textbook: Rick Durrett, Elementary Probability For Applications, Cambridge University Press, 2009. Errata.
Student rules: University-approved excuses and attendance,
scholastic dishonesty.
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