## MATH107 Introduction to Probability and Statistics - Spring 2011

Syllabus

Exams

 Date Topic Homework Due 1 01/13 Chapters: 1 and 2 read Chapters: 1 and 2 01/15 2 01/18 Section 4.1: Experiments, sample spaces and events read sections 4.1 and 4.2 01/20 3 01/20 Section 4.2 An introduction to probability HW#1: Chapter 4, Exercises: 4, 6, 8, 10, 16, 20, 28, 30, 34, 36, 38, 42, 44a-c, 48, 54 Solutions 01/25 4 01/25 Section 4.3: Counting techniques read section 4.3 01/25 5 01/27 Sections: 4.3 Counting rules and 4.4 Conditional probability HW#2: Chapter 4, Exercises: 60,64, 66,78, 82, 92, 96, 98, 104, 114 Solutions 02/01 6 02/01 Section 4.5: Independence HW#3: Chapter 4, Exercises: 118, 120, 128, 142, 144 Solutions 02/03 7 02/03 Review of Chapter 4 Thursday, February 3: Extended office hours: 2PM-4PM, ADDITIONAL REVIEW SESSION: W201 6PM-8PM: HELP SESSION: MONDAY, FEBRUARY 7, 2PM-4PM, room N410 (BOYI YANG) 02/03 8 02/08 Midterm Exam #1: Chapter 4, Homework: #1, #2, #3 Results: 20, 20, 20, 19, 13.5, 19.5, 10.5, 17.5, 20, 20, 18, 18.5, 13.5, 17, 17.5, 19.5, 19, 20, 13, 19, 19, 16.5, 14.5, 17, 13.5, 19.5, 15.5, 18.5, 20, 15, 17.5, 19.5, 16, 16, 14, 19, 20, 14, 18.5, 17, 20, 20, 16.5, 14.5, 18.5, 18, 17, 12.5, 19.5 Solutions 02/08 9 02/10 Sections 5.1 and 5.2: Random variables and probability distributions for discrete random variables HW#4: Chapter 5: 2, 6, 8, 10, 12, 16, 18, 22, 24 Solutions 02/14 10 02/15 Section 5.3: Mean, variance and standard deviation for a discrete random variable read sections 5.3, 5.4 and Chapter 3 (sections 3.1, 3.2 and 3.3) 02/17 11 02/17 Section 5.4: The binomial distribution HW#5: Chapter 5: 28ab, 30ab, 38ab, 42ad, 46, 50, 52abc, 56abc, 60, 66 Solutions HELP SESSIONS: EVERY WEDNESDAY, FROM 3:30PM TO 5:30PM, ROOM N410 (BOYI YANG) 02/22 12 02/22 Section 5.5: Other discrete distributions: the geometric distribution read Section 5.5 02/22 13 02/24 Section 5.5: The Poisson and the hypergeometric distribution HW#6: Chapter 5: 72, 74, 76, 78, 82, 84, 86, 90 Solutions 03/01 14 03/01 Sections 6.1 and 6.2: Probability distributions for continuous random variables and the Normal distribution read Sections 6.1 and 6.2 03/01 15 03/03 Sections 6.2 and 6.4: The Normal and the Exponential distribution HW#7: Chapter 6: 2, 4, 6, 8, 10, 12, 20, 22, 26, 30, 34, 40, 46 Solutions 03/15 -- 03/07 Spring Break Have fun! 03/11 16 03/15 Review of Chapters 5 and 6 Tuesday, March 15: Extended office hours: 2PM-4PM, ADDITIONAL REVIEW SESSION: W201 6PM-8PM Help session, Wednesday, March 16, 3:30PM-5:50PM, room N410 (Boyi Yang) 03/15 17 03/17 Midterm Exam #2 Chapter 5 and Chapter 6 (Homeworks: 4, 5, 6, and 7) Results: 25, 25, 25 ,25, 25, 25, 25, 25, 25, 25, 24, 24.5, 23, 22.5, 23, 24.5, 11, 24, 22, 24, 21, 25, 24.5, 22.5, 16, 21, 24.5, 23.5, 20, 22.5, 23.5, 21.5, 17, 23.5, 22.5, 21, 22.5, 21, 25, 23.5, 20.5, 14.5, 24.5, 21.5, 13, 22.5, 16, 17 Solutions 03/17 18 03/22 Sections 7.1 and 7.2: Statistics, parameters, and sampling distributions. The sampling distribution of the sample mean read Sections 7.1, 7.2 and 7.3 03/22 19 03/24 Section 7.3: The distribution of the sample proportion HW#8: Chapter 7: 2, 6, 8, 18, 20, 24, 26, 30, 46, 48, 50, 56 Solutions 03/29 20 03/29 Sections 8.1, 8.2 and 8.3: Point estimation. Confidence intervals for a population mean Read Sections 8.1, 8.2 and 8.3 03/29 21 03/31 Section 8.4: A large-sample confidence interval for a population proportion. HW#9: Chapter 8: 6, 14abc, 16ab, 20, 22, 42abc, 46, 48, 56, 66, 68, 78, 82, 94, 102, 104, 108, 114 Solutions 04/07 22 04/05 Section 8.5: A confidence interval for a population variance. Sections 9.1 and 9.2: The parts of hypothesis test and choosing the alternative hypothesis. Hypothesis test errors. Read Sections 9.1 and 9.2 04/05 23 04/07 Sections 9.3, 9.4, 9.5, 9.6: Hypothesis tests concerning a population mean when variance is know and unknown, p-values. Large sample tests concerning a population proportion. HW#10: Chapter 9: 4, 10, 12, 16, 26, 28, 48, 62, 68, 73, 86ace, 90, 102, 108, 116, 144ab, 154, 160 Solutions 04/12 24 04/12 Sections 9.7 and 10.5: Hypothesis tests concerning a population variance. Comparing two population variances. Read Section 9.7 and Chapter 10 04/12 25 04/14 Sections 10.1, 10.2, 10.3 and 10.4: Comparing two population means and proportions. Review session at 6:00PM, Thursday, April 14, MSC Room W201, Monday April 18: consultation day, MSC E416 Additional help session: Monday, from 3:30PM to 5:30PM, ROOM N410 (Boyi Yang HW#11 (take home exam due Tuesday, April 19 at 11:30AM, 5 points - one point each problem ): Chapter 10: 28a, 36a, 58ab, 82, 104 Solutions 04/19 26 04/19 Midterm Exam #3 Results: 22, 13, 29, 26, 24, 27.5, 30, 30, 25, 26, 26, 23, 22, 6, 30, 28, 20.5, 22, 28, 27, 23.5, 27, 22, 30, 28, 20.5, 28.5, 21, 30, 30, 30, 30, 29.5, 28, 26, 29.5, 29.5, 30, 28, 11, 29.5, 21.5, 28, 29, 30, 30, 25, 29 Solutions 04/19 27 04/21 A review of Midterm Exam #3. Solutions of Midterm Exam #3 problems. Course evaluation. 04/21