MA 161 0 Probability
Fall 2012-13 lectures
Week 1: September 5 and 7.
Read chapter 1 and chapter 2, play with the corresponding simulations http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/bookapplets/index.html and be prepared to discuss.
Problems: Page 35: 4,5,6,10,13,16,18,23,25,31.
Problems due September 14 in class.
For the computer savvy: fix up the applet for horse race in chapter 1 and for Buffon's needle in chapter 2.

Week 2: September 10-12.
Read chapter 2 and chapter 3, play with the corresponding simulations http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/bookapplets/index.html and be prepared to discuss.
Problems: Page 71: 3,6,8,12,13,14,15,16
Problems due September 24 in class.
For the computer savvy: fix up the applet for horse race in chapter 1, for Buffon's needle in chapter 2, and BinomialProbabilities in Chapter 3.

Week 3-4: September 19-24.
Read chapters 3 and 4, play with the corresponding simulations http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/bookapplets/index.html and be prepared to discuss.
Problems: Page 89: 7,19(a,b,c,d),23; Page 114: 6,8,10,18,19,22,32,35
Problems due October 1 in class.
Challenges in class and out: Find the cumulative distribution for X(t) = -log t on the unit interval with uniform distribution.
Find the cumulative distribution of the exponential distribution.
Prove the formula on the sum of n-choose-k over odd k by counting things
Show that Stirling's formula is correct up to a multiplicative constant.
Page 118 Problem 36.

Week 4-5: September 26-Oct 1.
Problems:Page 150: 3,5,6,9,18,22,27,28,30,32
Problems due Oct 10 in class

Week 5: Oct 3-5.
Problems: Page 172: 2,5,8,11; Page 181: 1,2,3,5
Problems due Oct 15 in class

Weak 6
Problems:Page 197: 6,9,11,14,18,21,24,25,28,33,35
Problems due Oct 19 in class

Homework 7
Problems: Page 219: 2,5,9,12,18,26,27,31,34; Page 247: 6,7,8,12,16
Problems due Nov 2 in class

Homework 8
Problems:Page 247: 18,20a,b,d,35; Page 263: 3,15,20,26; Page 278: 7,8,10,11,15,27
Problems due Nov 9 in class

Homework 9
Problems: Page 290: 9; Page 300: 2,9,10,13; Page 312: 5,10,11; Page 321: 4,12,18;
Problems due Nov 19 or 21 in class

Homework 10
Problems: Page 338: 3,8,12,13,17; Page 354: 3,5,12; Page 361: 10,11; Page 374: 3,4,9
Problems due Nov 28 in class

Homework 11, do not turn in:
Problems: Page 392: 1,4,6,8 Page 402: 3a,10 Page 422: 6,9,12,13,18*,21,26,33 Page 442: 2,5,12,17,26, Page 452: 7

Professor Kenyon's old practice midterm