Math 3215. Probability and Statistics
Professor Johan G. F. Belinfante
Summer 2006 Tentative Syllabus

 
Textbook:  Hogg and Tanis
           Probability and Statistical Inference, 7th ed.
           Pearson    (ISBN 0-13-146413-2)

Date       Chapter.Section/Topics          (Suggested Problems)
    
M  May 15  1.1-1.2 Probability Axioms      (1.2-8, 1.2-10) 
W    17    1.3 Counting                    (1.3-7, 1.3-11, 1.3-13. 1.3-14)
F    19    1.4 Conditional Probability     (1.4-9, 1.4-18)

M    22    1.5 Independent Events          (1.5-1, 1.5-11)
W    24    1.6 Bayes Theorem               (1.6-7, 1.6-10) 
F    26    2.1-2.3 Mean and Variance       (2.1-3, 2.1-6, 2.1-10, 2.2-14, 2.3-4, 2.3-9)

M    29    *** holiday   no class ***
W    31    2.4 Bernoulli Trials            (2.4-1, 2.4-3, 2.4-10, 2.4-13)
F     2    2.5 Moment Generating Function  (2.4-19, 2.4-22, 2.5-3, 2.5-19, 2.5-5, 2.5-8, 2.5-12, 2.5-16)

M     5    2.6 Poisson distribution  (2.6-6, 2.6-10, 2.6-24)
W     7    *** first examination ***       (closed books)
F     9    3.1-3.3 Continuous Random Variables; Uniform and Exponential Distributions  (3.1-1, 3.2-8, 3.2-12, 3.2-15)

M    12    3.4 Gamma and Chi Squared Distributions  (3.3-1, 3.3-5, 3.3-6, 3.3-8, 3.3-9, 3.3-11, 3.3-12, 3.3-13, 3.3-20)
W    14    3.4 Waiting Times for a Poisson Process  (3.4-1, 3.4-2, 3.4-3, 3.4-4, 3.4-8, 3.4-9, 3.4-13, 3.4-14)
F    16    3.5 Functions of a Random Variable    (3.5-1, 3.5-3, 3.5-6, 3.5-10, 3.5-12)
 
M    19    4.1 Two Random Variables     (4.1-1, 4.1-7, 4.1-9, 4.1-10)
W    21    4.2 Correlation Coefficient and Trinomial Distribution
F    23    4.2-3 Least Square Fits; Conditional Distributions  (Final drop date)

M    26    4.4 Transformations of Random Variables
W    28    4.4 Beta Function and the Integrals Encountered for F-Distribution
F    30    4.5 Several Independent Random Variables; Random Samples
   
M  July 3  4.6 Sums of Independent Random Variables
W     5    *** second examination ***
F     7    5.1-5.2 Normal Distributions
   
M    10    5.3 Random Samples; Sample Variance
W    12    class cancelled due to illness
F    14    5.3 Student's t-Distribution
 
M    17    5.4 Central Limit Theorem
W    19    5.5 Normal Approximations
F    21    6.1-6.2, 6.4 Point estimation and Confidence intervals for Means
 
M    24    6.7-6.8 Confidence Intervals for Proportions; Sample Size
W    26    8.5 Chi square Goodness of Fits
F    28    Review for final  (Last day of classes)

*** Final exam: 2006 July 31 at 2:50-5:40 p.m. in Skiles 243. ***

Be aware that the tentative final exam information available on the Registrar web site is subject to change.


homepage for Belinfante's Math 3215.


Revised: 2006 July 19