The optional review session will be held in Tuttleman 303AB on Wednesday May 2, 2007 9:40-11:30am

Professor Richard Beigel

Homework will be found either together with the topic on this web page or else in the master homework file. For the most up-to-date list, you may need to restart your browser.

Key Dates

• First class: Wednesday January 17, 2007
• Drop deadline (tuition refund available): Monday January 29, 2007
• 1st Midterm: February 14, 2007
• Spring Break: March 5-9, 2007
• 2nd Midterm: March 21, 2007 (if you have a conflict on this date, arrange with me to take the midterm early)
• Withdrawal deadline (no refund): Monday March 26, 2007 (midterm grades will be available early in the day)
• Third Midterm: April 9, 2007
• Last class: Monday April 30, 2007
• Final Exam for Section 2: Friday May 4, 2007 8:30-10:30am
• Final Exam for Section 1: Wednesday May 9, 2007 8:30-10:30am

Grading

• Homework and Attendance: 12%
• Midterms (3): 26% each
• Final: 36%

How to Prepare for My Exams

1. Download and print my handouts (marked with an asterisk on this page)
2. Download and print my practice questions, sample exams, and old exams. These are available only via Blackboard.
3. Your printouts will be full of sample problems. Try to solve all of them yourself, even if you have seen the solutions before, without looking at the solutions again. Write down your work so you can check it later, and so I can help you if you can't find your mistakes.
4. After you try the exercises read the solutions. Did you get the a different answer? Did you get the same answer using different methods? Compare your steps to mine to learn the right way (or another right way) to solve the problem. If you can't figure out why your answer differs from the solution, send me an email and tell me what you did.
5. If you don't understand a solution and you have read the handout, email me your question.
6. Once you think you know how to solve the problems, wait 24 hours and try the same problems again. This kind of practice will reduce the number of mistakes you make during an exam.
7. Look for new or revised handouts in the days leading up to an exam.

How to work a long problem

• You just computed an average. Make sure it is between the smallest and largest numbers in the data set. If not, re-do the calculation.
• You just computed a probability. Make sure it is between 0 and 1. If not, re-do the calculation.

Topics

Detailed Syllabus

1. Descriptive Statistics.
   • Topics: Frequency tables, Histograms, Median, Percentiles, Mean, Variance and Standard Deviation, Covariance, Correlation, Linear Regression
   • Read Chapter 1 of your textbook.
   • *Lecture 1
   • *Two-Stock Portfolio Example
   • Helpful links:
     • Tutorial on summation (Σ) notation. Σ-notation is also explained well in your textbook on pages 1-2.
     • Harry Markowitz's application of descriptive statistics to the stock market earned him a share of the 1990 Nobel Prize in Economics. See Portfolio Selection (pp. 1-3).
     • UCI lecture notes on descriptive statistics
     • Glossary of statistical terms
   • Homework will be found earlier in this page.

2. Sets and Counting
   • Topics: Sets operations, Venn diagrams, Cardinality
   • Reading: 2.1 - 2.4, 2.6, 2.7, 2.10, 2.11 (factorial notation only), 2.13
   • Helpful links:
     • *My Set Theory Slides
     • More Set Theory Slides
     • Even More Set theory slides
     • Venn Diagrams

3. Probability
   • We are fortunate that Stefan Waner has written some really good notes on probability theory. Please read them.
   • *My Probability Slides
   • Probability slides by Stefan Waner - Part 1
   • Probability slides by Stefan Waner - Part 2
   • Probability slides by Stefan Waner - Part 3
   • Probability slides by Stefan Waner - Part 4
   • Helpful links:
     • Basic Probability Slides (skip Example 3.6)
     • Dice Autoroller
     • Dice probabilities
   • Homework due Feb 19, 2007. Copy down your work and your answers and bring them to class.
     • The last 3 questions on Probability slides by Stefan Waner - Part 1
   • Homework due Feb 23, 2007. Copy down your work and your answers and bring them to class.
     • Do Exercises 1-3, 7, 11, 12 from Stefan Waner's Chapter 7 Quiz
     • Do Exercises 2 from Stefan Waner's Chapter 7 Review Exercises

4. Conditional Probability
   • Topics: Conditional Probability, Independent Events, Law of Total Probability, Bayes' Theorem
   • Reading: Chapter 4
   • We are fortunate that Stefan Waner has written some really good notes on conditional probability and Bayes' Theorem. Please read them.
   • Stefan Waner's notes on Conditional Probability - Part A
   • Stefan Waner's notes on Conditional Probability - Part B
   • Stefan Waner's notes on Conditional Probability - Part C
   • Stefan Waner's notes on Bayes' Theorem
   • Stefan Waner's Chapter Summary
   • *Lecture Notes on Bayes' Theorem (pages 2-5)
   • *Lecture Notes on Repeated Trials
   • Helpful links:
     • Bayes' Law (first two examples only)
     • Repeated Trials
     • Conditional Probability, Total Probability, and Bayes' Theorem
   • Homework due Feb 28, 2007. Copy down your answers and your work and bring them to class.
     • Answer Questions 10, 13, 15, 16, and 20 from Stefan Waner's Chapter 7 Quiz
     • Do Exercises 3(a,c), 5, and 7(b) from Stefan Waner's Chapter 7 Review Exercises
     • Do Exercises 4.26, 4.31, 4.34, and 4.35 starting on Page 126 of your textbook.
   • Homework due Oct 18, 2006 (this shouldn't take too long because the answers are online). Copy down your answers and bring them to class.
     • The last question on Stefan Waner's notes on Conditional Probability - Part A
     • Questions 1, 2, 7-14, and 20 on Stefan Waner's probability quiz

5. Discrete Random Variables
   • Topics: Discrete Random Variables, Mean, Variance, Standard Deviation
   • *Lecture Notes

6. Binomial Distribution, Continuous Random Variables, Normal Distribution
   • Topics: Bernoulli Trials, Binomial Distribution, Mean, Variance, Standard Deviation, Probability Density Functions, Normal Distribution, 68:95:99.7 Rule, Using the Table
   • Lecture Notes:
     • *Binomial Distribution
     • Binomial Distribution and Normal Distribution slides for my November 6 and November 8 lectures are on blackboard.temple.edu. Click on "Course Documents" and then on "Lecture Materials." You will need Excel in order to open the files.
     • *Some Practice Questions
   • Homework due Friday March 30, 2007
     • Answer question 4-1 in the Master Homework File
     • Answer questions 5-1 (a,d,n) in the Master Homework File
     • Answer questions 5-2 (a,f) in the Master Homework File
     • Answer question 1 in the Normal and Binomial Distribution Homework file
     • Answer questions 5-2 (k,o) in the Master Homework File
     • If you are in Section 2, do the problem assigned in class.
     • Answer questions 5-5 (a,b,c) in the Master Homework File
   • Homework due Monday April 2, 2007
     • 4-2
     • 5-2(m)
     • 5-2(h)
     • 5-4 Look at the lecture notes on Binomial Distributions if you don't know how to do parts (d-h)
     • 5-3 (a-c). (Hint: Find the mean and variance for a single trial, and then multiply by the number of trials.)
     • 5-7 (a-g)
     • 5-8
     • 5-11 (a-g)
   • Homework due Friday April 6, 2007
     • 4-3
     • 5-2 (i,j)
     • 5-3 (d-g)
     • 5-7 (h-k)
     • 5-11 (h-k)
     • 5-6 (a-g)
   • Midterm on Random Variables and Binomials Distributions Monday April 9, 2007
   • Helpful Links:
     • Bernoulli Trials, Binomial Distribution, Normal Distribution
     • Continuous Random Variables 1
     • Continuous Random Variables 2
     • Cumulative Distribution Function of the Standard Normal Distribution. I recommend that you print this table and bring it with you to the exam so you won't have to search for it in the textbook.

7. Sampling (Chapter 7)
   • Midterm 3 (both versions) and its solutions have been posted on blackboard. If you had trouble with Midterm 3 I highly recommend that you read the solutions to your version, set them aside, and then do the other version for practice. If you still have trouble, please go to the MSRC or come to my office hours, and bring the solution sets with you.
   • Read Sections 7.1 through 7.3
   • *Lecture Notes on Sampling
   • *George Gallup forecasts the 1936 Election
   • Homework due Wednesday April 18, 2007
     • 6-1
     • 6-2
     • 5-6(h-k)
   • Homework due Friday April 20, 2007
     • 6-2 (e-g)
     • 5-6 (h-k)
     • 6-3
   • Please print the Review Sheet for Chapters 5-7

8. Confidence Intervals (Chapter 8)
   • Read Sections 8.1 through 8.4
   • *Lecture Notes on Confidence Intervals (pages 1-5 and 10 only).
   • Critical points for the t-distribution (with 1-tail and 2-tail header)
   • Critical points for the t-distribution from NIST (1-tail header only, with instructions)
   • *Practice Test
   • *Practice Test Solutions
   • Homework due Monday April 23, 2007
     • 7-4
     • 7-1
   • Homework due Wednesday April 25, 2007
     • 7-3
     • 7-2

9. Hypothesis Testing for 1 Population (Chapter 9)
   • Read Sections 9.1 through 9.3
   • *Lecture Notes on Hypothesis Testing

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