Fall 2012-13 lectures

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