Agenda for December 7, 2005

  1. Independence of Characteristics -- Review Problem

  2. Bernoulli Processes = Independence of Successive Selections in a repetitive stochastic process (= sequences STDR REPS OK + probability)
    1. Examples
    2. Bernoulli's Probability Formula for Independent Selections
    3. Bernoulli Processes and the BPDF and BCDF programs

  3. Introduction to Independence between a Characteristic and a Sampling Process -- Evaluating the significance of evidence of bias in selection procedures
    1. What is the fairest or ideal value of X? Answer: Fair Share = N * (P/T) = N * p.
    2. For Sampling Situations: Fair Share = N *(P/T) = Expected Value = Mean = Center (of Balance)
    3. If actual value is not ideal, is it evidence of bias against success or bias in favor of success?
      1. Direction of Bias:
        1. Less than ideal = Bias against success
        2. Greater than ideal = Bias in favor of success
    4. How does one measure how far from ideal a value is: Tails and one-tailed P-values
    5. How far is too far: Statistical Significance

  4. Announcements


Announcements:


Final Examination, Second Announcement of

  1. Date: Monday, December 12
  2. Time: 10:15 am - 12:15 pm
  3. Locations
    Left-Handed Requestees Others
    Last Name Room Last Name Room
    A - V WH 100 A - Hood, L WH 100
    W - Z WH 101 Hood, M. - Lawton WH 101
        LeMay - Nickle WH 120
        Nickson - Smith, Ja M0 007
        Smith, Je. -- Z SW 119

    A few people are assigned to other rooms. Please check the the WeBWorK Gradebook for your seat assignment.

  4. Material to be covered: The exam will cover everything. It will be cumulative and comprehensive in every sense of those words.
  5. Exam will be mostly (but not entirely) multiple-choice.
  6. BRING YOUR STUDENT ID; we will check it.
  7. Calculators: You may use any calculator.
  8. Bring three (3) sharpened, #2 pencils.
  9. Help Session: Saturday, December 10, 7:00-9:00 pm, RH 100.
  10. LAST Last Chance Help Session: Sunday, December 11, 7:00-9:00 pm, JH 124.


Homework Assignment for December 13, 2001

  1. Reading:
    1. Study: Lecture Notes, Section 4.6, pages 285-296
    2. Scan: Lecture Notes, Section 5.1, pages 309-316, especially Examples 2.4.11 and 2.4.18 on pages 307 to 311. Also carefully read Definitions 5.1.3 and 5.1.4 on page 306.

  2. Solve
    1. Bernoulli Processes
      Note: Another technical phrase that has the same meaning as "sampling with replacement", i.e., "sampling with independent selections",etc., is the phrase Bernoulli Process.
      As discussed in class today, you can use your BPDF and BCDF programs for these types of problems.
        (Use Classification Venn Diagrams like those on pages 280-281 of the Lecture Notes to convert questions about failures (for instance, exercise 5(b)) to questions about success.
      1. Lecture Notes, section 4.6, pages 296, problems 4.6.1-7. (On 1 and 2, remember how to suppress irrelevant distinctions.)
      2. Lecture Notes, Exam 4 Review problems, pages 297-298, problems 35, 36. (Answers on page 299. Solutions on pages 304-305.)

    2. WebWork: Your WeBWorK assignment for Friday will open around 8:00 pm tonight.



Homework Answers:

M/T, Section 3.5
1 (a) 0.384
(b) 0.288
(c) 8/27
3 (a) 0.31104
(b) 0.2304
5 (a) 0.09888
(b) 0.05792
6 (a) 0.88889
(b) 0.95473
7 0.912
9 360/1024
13 (a) 0.3110
(b) 0.5443
15 0.0001812


Last updated: 7 December 2005
URL: http://www.indiana.edu/~mathwhw/a118/a118_4058/agenda.12.07.html
Comments: wheeler@indiana.edu
Copyright 2005, William H. Wheeler