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Math 4240: Probability

General Info

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Syllabus

 


 

Resources

Calculator info

Virtual Laboratories in Probability and Statistics by Kyle Siegrist

 


 

Lecture Notes

August 30

September 1

September 3

September 8

September 10

September 13

September 15

September 17

September 20

September 22

September 24

September 27

September 29

October 1

October 4

October 8

October 11 - 22

October 25

October 27

October 29

November 5

November 12

November 15

November 17

November 19

Homework: Starred problems will be graded.

 

Chapter 2:    Due Wed Sept 1: 1, 2*, 4*, 5*, 7*, 8

                  Due Wed Sept 8: 11, 14, 15*, 18*, 21*, 22, 23, 27*, 29, 33*, 34, 35*, 36*, 41,  43*, 46, 47, 51*, 53*, 57, 58*, 68*, 69   

                    Due Wed Sept 15: 71*, 73, 75*, 77*, 83, 84, 86, 89, 97, 99, 104*, 107*, 109, 114*, 115*, 119, 120*, 121*,

                                            Bose Einstein*  Solutions     

                    Due Mon Sept 20: 123*, 128*, 132*, 135*, 137 Solutions

Chapter 3:    Due Fri Sept 24: 2, 4*, 6*, 10, 19, 23*, 27*, 29*, 32, 33* Solutions

                    Due Mon Oct 4: 40* 44, 48*, 51, 56*, 57*, 65*, 66*, 67*, 70*, 72*, 77, 80*, 85, 90*, 91*, 102*, 105*, 110, 122*, 130, 134*

                    Solutions

                    Due Wed Oct 13: 147*, 148*, 150*, 151*, 153*, 159*, 160 Solutions

Chapter 4:    Due Fri Oct 15: 9: 3*, 4*, 8*, 9*, 11, 15, 17*, 18 Solutions

                    Due Fri Oct 29: 21, 25*, 26*, 32*, 34*, 35*, 38*, 41*, 42*, 43, 44*, 45, 46, 50*, 55*, 57*, 81*, 82*, 89, 92*, 94*, 95*, 104*,

                    109*, 111*, 112* Solutions

                    Due Wed Nov 10: You don't have to use the tables to find normal probabilities.  You may use your calculator.  58*, 59*, 60, 61,                62*, 71*, 75, 136*, 138*, 140*, 142*, 143*, 144, 145, 4.146*, 4.149*, 4.152* Partial Solutions (most were sent in email)  

 

Chapter 5:    Due Fri Nov 19: 7*, 9*, 11, 17*, 19*, 23*, 25*, 34*, 36*, 43, 45, 48*, 49*, 50*, 57*, 61, 64*, 71*, read section 5.6*, #s 75*, 77*, 79*, 81* 

 


 

Exam Solutions/Review

 Exam I will cover the work we've done so far through section 3.8 of the text. 

Exam I Solutions

 

Exam II will cover section 3.9, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.8, 4.9, 4.10. 

Exam II Solutions

 

Extra problems for Exam I!!!

 


 

Exam II Review (fall 2010):

Be able to identify probability distributions (discrete and continuous) by their mgfs.

Know and be able to apply the defining properties of pdfs and cdfs to determine pdfs and cdfs.

Know the pdf is the derivative of the cdf, and the cdf is the integral of the pdf.

Be able to find means and variances of continuous random variables, as well as functions of continuous random variables.

Be able to identify, calculate probabilities, means, variances, moments for uniform, normal, exponential, and gamma random variables. 

Be able to apply Chebyshev’s Theorem.  

 


 

Exam I (fall 2007)

Exam II review (fall 2007)