Instructor: Robert Ellis  Office: E1 Bldg, Rm 105C  Email: 
Lectures 
MWF 3:154:30pm  PH 108 

IIT 475 Section Schedule  
Office Hours 
M 2:003:00pm (Math 152 Priority) T 11:20am12:20pm (General) W 1:152:15pm (Math 475 Priority) F 8:309:30am (General) 
Office phone 5675336 
Appointments and emailed questions are welcome  
Textbook 
Wackerly, Mendenhall, Scheaffer, Mathematical Statistics with Applications, 6th edition, Duxbury. 
First day handout
(course contract & exam schedule)
Exam and Solutions  

Exam 1  Exam 2  Exam 3 
1A (exam,
key) 1B (exam, key) Formula page 
2A (exam,
key) 2B (exam, key) 
3A (exam,
key) 3B (exam, key) 
W 9/5, 3:15pm  Sect. 2.3, p24: 2.4, 2.6 Sect. 2.4, p31: 2.8, 2.14 Sect. 2.5, p37: 2.22, 2.26 The following problem must be done but is not to turn in: Follow the instructions to set up Virtual Laboratories in Probability and Statistics^{1} Under the Section Foundations, run the "Venn Diagram Applet". Sketch the Venn Diagram for each set expression and then click to verify each answer. 
Sect. 2.12.9  Sect. 2.3, p24: 2.1, 2.5 Sect. 2.4, p31: 2.9, 2.11, 2.13, 2.17 Sect. 2.5, p37: 2.19, 2.21, 2.23, 2.25 
F 9/14, 5pm, in mailbox E1 Rm210  Sect. 2.6, p49: 2.30, 2.34, 2.35
Remember: No credit for answers without explanation. 

F 9/14, 5pm, in mailbox E1 Rm210  Sect. 2.6, p49: 2.52 Sect. 2.7, p53: 2.58, 2.60, 2.62 (assume P(A)>0,P(B)>0), 2.64 Sect. 2.8, p57: 2.68, 2.70 Problem A: The following problem must be done with collected data turned in: Read the short section "The Law of Large Numbers" here. Read the exposition on "Conditional Probability" here, paying special attention to question 3 on correlation. For now you may ignore other topics such as Bayes' Rule. Run the dice experiment in problem 13, except repeat 50 times instead of 500. Follow the rest of the directions of problem 13 to write down the empirical conditional probabilities as described. 
Sect. 2.12.9  Sect. 2.6, p49: 2.41, 2.43, 2.47, 2.53, 2.55 Sect. 2.7, p43: 2.57, 2.59, 2.61, 2.63, 2.65 Sect. 2.8, p57: 2.69, 2.71 
F 9/21, 5pm, in mailbox E1 Rm210 
Sect. 2.8, p57: 2.74, 2.80, 2.82 (assume 2.80 is true and
express your answer as an inequality) Sect. 2.9, p65: 2.88, 2.94, 2.96 Sect. 2.10, p69: 2.100, 2.108, 2.114 And: Work Problem 4ab at this page on independence. Run the experiment in Problem 5 if you need to build intuition. 
Sect. 2.102.13 
Sect. 2.8, p57: 2.79, 2.80, 2.81, 2.83, 2.85 Sect. 2.9, p65: 2.87, 2.89, 2.91 (4wise independence), 2.95, 2.97 Sect. 2.10, p69: 2.99, 2.101, 2.107, 2.113, 2.115, 2.116 (challenge) 
F 10/5 5pm, E1 Rm210 1st of 2 parts 
Sect. 3.2, p87: 3.2, 3.6 Sect. 3.3, p95: 3.10, 3.12 (you may quote answer to 2.97) Problem A. Play UCSD's Monty Hall game, and read the explanation. Read also a comparable Wikipedia explanation (Problem A has no handin component).  Sect. 3.13.3 
Sect. 3.2, p87: 3.3, 3.5, 3.7, 3.9 Sect. 3.3, p95: 3.11, 3.13, 3.19, 3.23 
F 10/5 5pm, E1 Rm210 2nd of 2 parts 
Sect. 3.3, p95: 3.18, 3.20
Sect. 3.4, p106: 3.34, 3.38, 3.42, 3.48 
Sect. 3.43.8  Sect. 3.4, p106: 3.25, 3.29, 3.33, 3.41, 3.43; challenge: 3.47, 3.49 
F 10/12 5pm, E1 Rm210 
Sect. 3.5, p114: 3.56, 3.58, 3.62, 3.68
Sect. 3.6, p118: 3.76, 3.78 Sect. 3.7, p123: 3.84, 3.90, 3.96 Problem A: #21(ab) at UAH's "The Negative Binomial Distribution page. (Turn in your answers.) Remember, you must show work to guarantee full credit. 
Sect. 3.73.10 
Sect. 3.5, p114: 3.51, 3.53, 3.55, 3.55, 3.59, 3.65, 3.67; challenge:
3.693.71
Sect. 3.6, p118: 3.73, 3.75; challenge: 3.80, 3.82, 3.83 Sect. 3.7, p123: 3.85, 3.87, 3.91, 3.95 
M 10/22 3:15pm, in class 
Sect. 3.9, p135: 3.116, 3.120, 3.124 Problem A: #12, UAH's Generating Functions page Sect. 3.11, p141: 3.134, 3.138, 3.140 
Sect. 3.11, 3.12, 4.14.3 
Sect. 3.9, p135: book back right inside cover, 3.115, 3.117,
3.119, 3.121, 3.123, 3.125; challenge: 3.126, 3.127
Sect. 3.11, p141: 3.131, 3.133, 3.137, 3.141, 3.143 
F 10/26 5pm, E1 Rm210 
Sect. 4.2, p159: 4.4, 4.8, 4.12 Sect. 4.3, p164: 4.16, 4.20a, 4.24, 4.26 Sect. 4.4, p168: 4.30, 4.42 Sect. 4.5, p173: 4.46, 4.62, 4.64 
4.44.7 
Sect. 4.2, p159: 4.1, 4.3, 4.7, 4.11, 4.13 Sect. 4.3, p164: 4.15, 4.17, 4.19, 4.25, 4.27 Sect. 4.4, p168: 4.29, 4.31, 4.43, 4.45 Sect. 4.5, p173: 4.47, 4.53, 4.55, 4.59, 4.63, 4.65 
M 11/12 3:15pm in class 
Sect. 4.6, p180: 4.72, 4.86 Sect. 4.7, p185: 4.92 4.100 Sect. 4.9, p193: 4.104, 4.108, 4.112 Sect. 4.10, p196: 4.118 (see p10) Sect. 5.2, p218: 5.4, 5.6, 5.10 
4.85.4 
Sect. 4.6, p180: 4.67, 4.71, 4.75, 4.79, challenge: 4.89,
4.90 Sect. 4.7, p185: 4.91, 4.95, 4.97 Sect. 4.9, p193: 4.105, 4.106, 4.109, 4.113 Sect. 4.10, p196: 4.115, 4.117 Sect. 5.2, p218: 5.1, 5.3, 5.7, 5.9 
F 11/16 5pm, E1 Rm210 
Sect. 3.8, p129: 3.108 (assume Poisson distribution) Sect. 5.3, p229: 5.20, 5.22, 5.32 Sect. 5.4, p238: 5.42, 5.44, 5.30, 5.54, 5.56 Sect. 5.6, p247: 5.64, 5.72, 5.70 (assume y_1>0) 
5.55.11 
Sect. 3.8, p129: 3.97, 3.101, 3.107, 3.111, 3.114 Sect. 5.3, p229: 5.17, 5.19, 5.21, 5.23; challenge: 5.33, 5.35 Sect. 5.4, p238: 5.37, 5.39, 5.43, 5.45, 5.49, 5.53, 5.55, 5.57, 5.59, 5.61 Sect. 5.6, p247: 5.63, 5.65, 5.69; challenge: 5.73, 5.74 
M 11/26 3:15pm, PH 108 
WARNING: Answers only, or very little justification = no credit. I am
assigning odd problems so you can have more feedback before the exam on 11/28. The solutions will be posted to these problems on 11/26; you can keep a photocopy of your homework to correct and study for the exam. Sect. 5.7, p253: 5.77, 5.81, 5.83 (read bottom half of p.250) Sect. 5.8, p261: 5.87, 5.91, 5.95 (use Tshebycheff) Sect. 6.3, p291: 6.3, 6.9 (average life=(Y1+Y2)/2), 6.11 Sect. 6.4, p300: 6.21, 6.27 
6.16.5 
Sect. 5.7, p253: 5.75, 5.79, 5.85
Sect. 5.8, p261: 5.86, 5.88, 5.89, 5.93, challenge: 5.97 Sect. 6.3, p291: 6.1, 6.5, 6.7, 6.13, 6.15; challenge: 6.176.18 Sect. 6.4, p300: 6.19, 6.23, 6.31, 6.32 
W 12/5 3:15pm, PH 108 
Final Homework. Pick up in office hours, 12pm, T/W Dec 11/12
Sect. 6.5, p307: 6.36, 6.40, 6.44 Sect. 6.6, p300: 6.54, 6.56 (Hint: for 6.54 use definition of gamma function, p176) Sect. 7.2, p342: 7.2(ac), 7.4 
6.6, 7.17.3 recommended but optional: 7.47.5 
Sect. 6.5, p307: 6.35, 6.37, 6.41, 6.43, 6.45, 6.47, 6.49, 6.51
Sect. 6.6, p300: 6.53, 6.55, 6.57 Sect. 7.2, p342: 7.1, 7.3, 7.7, 7.11 
Due Date  Problems to hand in  Reading  Recommended exercises 

page maintained by Robert Ellis / http://math.iit.edu/~rellis/