Math 5810 - Homework Assignments


On this page you will find the homework assignments for Math 5810. Assignments will be posted here soon after class. Remember that your homework should be well laid-out and easy to read. Messy homework will not be graded! Do all the assigned problems. Turn in the highlighted problems. Problems marked with an asterisk (*) are mandatory for math grad students, optional for  everyone else. Show all your work!
 

 

Due

Problems

August 31 Section 1.1: 3,4,5,7,8,10,11*;    Section 1.2: 2
Section 1.3: 4,5,8,9,10,11,13*,15*
September 9 Section 1.4: 1,2,4,5,6,7,9,10,11
*Prove: if A and B are independent, so are A and B^c, A^c and B, A^c and B^c.
Section 1.5: 1,5,6,7,8*
September 14 Section 1.6: 1,2,3,6,7,8
Review exercise 16* (p.76)
Read Appendix 1
September 21 Appendix 1: (ii),(xi),(xii),(xiii),(vi)*,(x)*
Section 2.1: 2,5,7,8,10,11,13
Section 2.2: 1,4,9,10,11,14,17*
September 28 Section 2.4: 2,6,8*,9
Section 2.5: 1,3cd,6,9,12bcg
October 5 Section 3.1: 1,4,5,8,14,13*
Section 3.1: 6,12,15,16a,18,21,24*
October 7 Exam 1: Chapters 1 and 2 and Section 3.1
(click here for a sample exam, and here for the answers to it)
October 12 Section 3.2: 2,4,9,12,16,17,18,20
October 19 Section 3.2: 6,7,13,15,22*
Section 3.3: 1,4,8,9,12,13,15,25b,26a,26b*
October 26 Section 3.3: 17,19,20,29,30*
Section 3.4: 1,4,7a-d,12,17,19ab,24a-c,22*
November 2 Section 3.5: 3,6,9,10,15,18*
Section 4.1: 2,4,5,13
November 9 Section 4.1: 6,9,10,15*
Section 4.2: 3,4a-d,8,10a*
Compute the moment-generating function of the normal and exponential distributions
Section 4.2: 1
Section 4.5: 2,4,5,8ad
November 16 Section 4.5: 6,9a-c
Section 4.4: 4,5,6,10ac,8acd*
(Use the cdf method, NOT the formula in the book!)
Compute the mean and variance of the lognormal(mu,sigma^2) distribution
November 18 Exam 2: Sections 3.2-3.5, 4.1, 4.2, 4.4 and 4.5
(click here for the answers to the review)
November 23 Section 5.1: 1,2,5,8,9*
Section 5.2: 1,6,16,17a*
Section 5.3: 2,4,8
Section 5.4: 1,8,9
November 30 Section 4.2: 5,6,16,17,12*
Section 6.1: 3,5
Section 6.2: 1,6,17*
Section 6.3: 1,5,6,10a
December 2 Suggested practice for final:
Section 6.4: 4,5,10,11,19,22
December 7
(1:30-3:30!!)
Final Exam: comprehensive final exam!
(click here for the answers to the review)

 

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