Math 335 (Mathematical Probability) Homework
From: Probability, Statistics, and Stochastic Processes by Olofsson
Note: An
asterisk “*” next to a problem number indicates that there is some error either
in the solution or the statement of the problem. Check the errata sheet on my
web page for correction.
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Sec. |
Exercise Numbers |
Due Date |
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1
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1.2 |
1, 3*, 4 |
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1.3 |
5, 8, 10, 11, 13a*, 14, 15 |
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1.4 |
16*, 17, 18, 19 (Hint: List the 24 possible outcomes and
count the favorable outcomes in each case) |
Wed. 9/10 |
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1.4 |
21a, 23, 25
(Hint: Set up the problem as union of events), 26, 28ab,
29, 30, 31 |
Wed. 9/17 |
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1.5 |
33, 34, 35, 36(a,d), 41 |
Wed. 9/17 |
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1.5.1 |
37, 39, 42, 44*, 45, 46, 48, 50, 52, 53, 62 |
Wed. 9/24 |
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1.6 |
64, 65, 71, 73 |
Wed. 9/24 |
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1.6 |
72, 76, 79,
80, 82, 84, 86, 95, 96 |
Wed. 9/24 |
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2.2 |
1,
2, 3, 4, 5, 7 |
Wed. 10/8 |
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2.3 |
9, 11,
12, 15, 17(a,b) |
Wed. 10/8 |
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2.3 |
17(c),
19, 20 |
Wed. 10/15 |
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2.4 |
24, 25,
26, 27, 31 (Hint: Let x be the amount of your bid (which is fixed) and Y be
the amount of others bid which is random). |
Wed. 10/15 |
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2.4 |
32, 33, 34,
35, 36, 38, 39 |
Wed. 10/22 |
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2.5 |
45, 48,
50, 51, 53 |
Wed. 10/22 |
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2.5 |
55(ab), 56, 57, 58 |
Wed. 10/29 |
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2.6-2.7 |
62, 64, 69,
70, 74, 75 (do only for k=1,2,3) |
Wed. 10/29 |
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3.2-3.3 |
4, 5,
6(a,c), 7, 8,
9, 10, 11 |
Wed. 11/12 |
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3.4 |
14 (a,c), 15(a,c), 16, 17, 19, 20,
21(c,d) |
Wed. 11/12 |
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3.5 |
23, 25,
26, 27, 28, 31(a,c), 32, 33, 35, 36, 39 |
Wed. 11/12 |
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3.6 |
43, 44,
47 |
Wed. 11/12 |
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49, 50, 52, 61b(Only find the distribution of Z), 62 (Find
distribution of U, and V separately, not the joint.) |
Wed. 11/19 |
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3.8 |
86, 87 |
Wed. 11/19 |
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3.8 |
89, 92, 95(a,b), 96, 97, 99 |
Wed. 12/3 |
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3.11 |
135a
(Compute mgf, and not pgf),
137, 144, 145 |
Wed. 12/3 |
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4.1-4.4 |
2, 3, 4, 8b(assume lambda is an integer), 10, 11, 13,
15, 20, 21 |
Wed. 12/10 |
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