Assignment 1:
Model solutions: http://www.math.dartmouth.edu/~doyle/docs/60.2010/hw/m60hw1.pdf
Assignment 2:
G&S section 1.1: 14,15,16
G&S section 1.2: 12,13,16,17,18,19,28
G&S section 2.1: 5,6,7,9
Model solutions: http://www.math.dartmouth.edu/~doyle/docs/60.2010/hw/m60hw2.pdf
G&S section 2.2: 5,6,12,20
G&S section 3.1: 22,23,24
G&S section 3.2: 6,10,13,18,34
Model solutions: http://www.math.dartmouth.edu/~doyle/docs/60.2010/hw/m60hw3.pdf
For Ex. 34, Change `a good estimate ...' to `a bad estimate--as Jie Zhong has pointed out. This incorrect estimate is based on a misprint in Feller. The correct estimate is m = n log n + n log(1/log 2). Using your program, show that this is a good estimate.'
G&S section 4.1: 11,15,20,27,44-45 (with simulations), 55-60.
G&S section 4.2: 11,13.
Model solutions: http://www.math.dartmouth.edu/~doyle/docs/60.2010/hw/m60hw4.pdf
G&S section 5.1: 6,16,21,28,42,45.
G&S section 5.2: 10,26,36,37
G&S section 6.1: 12,16a,19,20,25,29,32,33
Model solutions: http://www.math.dartmouth.edu/~doyle/docs/60.2010/hw/m60hw5.pdf
G&S section 6.2: 3,15,17,18,23,24,25,26,27,29
G&S section 6.3: 7,12,13,17,18
NOTE: Printed copies of G&S have screwed-up numbering for the later problems in section 6.2. To fix things up, relabel problem 26 as 25(b), 27 as 26, 28 as 27, 29 as 28 and 30 as 29. The result should agree with the online version here:
http://math.dartmouth.edu/~prob/prob/prob.pdf
Model solutions: http://www.math.dartmouth.edu/~doyle/docs/60.2010/hw/m60hw6.pdf
G&S section 7.1: 4,9,10
G&S section 7.2: 4,5,6,8,15
G&S section 8.1: 1,2,12,17
For all of the following problems, compute the exact answer in addition to using the CLT approximation. For the CLT computations, whenever appropriate use the so-called 1/2-correction, as in G&S Example 9.2. Note that the answer key does not reliably use (or omit) the 1/2-correction.
G&S section 9.1: 1,3,5,7
G&S section 9.2: 1,4
Here are the answers to the practice test:
http://www.math.dartmouth.edu/~doyle/docs/60.2010/tests/t2p.pdf
Here are the answers to the test:
http://www.math.dartmouth.edu/~doyle/docs/60.2010/tests/t2ans.pdf
Determine the mean and the cdf of the time to arrive at the finish in the game of Chutes and Ladders.
http://en.wikipedia.org/wiki/Snakes_and_ladders