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1 = Introduction to Probability, Fall 2011 =
2
3 === Lecturer ===
4
5 [[Ali Amiryousefi>>doc:mathstatHenkilokunta.Amiryousefi, Ali]]
6
7 === Scope ===
8
9 3cu.
10
11 === Lectures ===
12
13 //Week 37//:
14 Monday 9-12 and 15-18 in room B119
15 Tuesday 9-12 in room B321
16 Friday 9-12 and 15-18 in room CK111 and B321, respectively.
17
18 //Week 38//:
19 Monday 9-12 and 15-18 in room B119
20 Tuesday 9-12 in room B321
21
22 //Week 42//:
23 Monday 9-12 and 14-17 in room CK108 and CK107, respectively.
24
25 ====== Notes ======
26
27 *Only the material of the weeks 37 and 38 will appear on the exam.
28 *Last session will be devoted to //your// questions and reviewing the key concepts.
29
30 === Prerequisites ===
31
32 Elementary Calculus
33
34 === Course Diary ===
35
36 12.09.2011: //1.Combinatorial Analysis;// Sections: 1, 2, 3, 4, 5.
37
38 12.09.2011: //2.Axioms of Probability;// Sections: 1, 2, 3, 4, 5, 6, 7.
39
40 13.09.2011: //3.Conditional Probability and Independence;// Sections: 1, 2, 3, 4, 5.
41
42 16.09.2011: //4.Random Variables;// Sections: 1, 2, 3, 4, 5.
43
44 16.09.2011: //4.Random Variables;// Sections: 6, 7, 8.1, 8.2, 8.3, 9.
45
46 19.09.2011: //5.Continuous Random Variables;// Sections: 1, 2, 3, 4.
47
48 19.09.2011: //5.Continuous Random Variables;// Sections: 5, 6.1, 6.2, 6.3, 6.4, 7.
49
50 20.09.2011: //6.Jointly Distributed Random Variables;// Sections: 1, 2, 4, 5.
51
52 17.10.2011: //8.Limit Theorems;// Sections: 1, 2, 3, 4. //10.Simulation;// Sections: 1, 2.1, 2.2, 3.
53
54 17.10.2011: //9.Additional Topics in Probability;// Section: 2.
55
56 === Self-Study Parts ===
57
58 Chapter 3: Examples 4f and 5f.
59 Chapter 4: 4.6.1.
60 Chapter 5: 5.4.1, 5.5.1.
61 Chapter 6: Examples 1f, 3e, 3f, 5c, and 5d.
62
63 ====== Notes ======
64
65 *There will be one bonus question contributing to one point of the exam relating to these parts.
66 *Studying these parts will help you in doing the exercises.
67
68 === Exercises ===
69
70 Chapter 1: 21, 22, 23, 27, 2T, 5T, 8T, 9T, 13T.
71 Chapter 2: 15, 28, 56, 11T, 16T, 20T.
72 Chapter 3: 21, 35, 52, 59, 66, 69, 73, 15T, 22T, 30T.
73 Chapter 4: 26, 30, 31, 38, 43, 57, 80c, 4T, 8T, 9T, 10T, 13T, 19T, 27T, 28T.
74 Chapter 5: 3, 7, 10, 13, 18, 19, 21, 25, 26, 28, ,30, 31, 36, 38, 1T, 2T, 7T, 10T, 12T, 13T, 25T, 28T, 26T, 15T, 16T.
75 Chapter 6: 2, 8, 9, 13, 23, 24, 41, 39, 43, 51, 54, 12T, 14T, 20T, 19T.
76
77 === Solutions ===
78
79 [[doc:mathstatKurssit.chap-1\.pdf]]
80 [[doc:mathstatKurssit.chap-2\.pdf]]
81 [[doc:mathstatKurssit.chap-3\.pdf]]
82 [[doc:mathstatKurssit.chap-4\.pdf]]
83 [[doc:mathstatKurssit.chap-5\.pdf]]
84 [[doc:mathstatKurssit.chap-6\.pdf]]
85
86 ====== Notes ======
87
88 *The 'T' indicates the Theoretical whereas the other numbers without suffixes are Problems.
89 *Solutions to the exercises should be handed in no later than 17.10.2011; 9:15 AM.
90 *Solutions to these exercises will be posted online after the due date of delivery.
91 *One can obtain one bonus point by solving at least 80 percent of the exercises i.e. 64 out of total of 80.
92 *Each group can hand in one set of solutions but students are strongly recommended to do all the exercises by themselves.
93 *There is no more than 10 percent exercises related to the self study parts i.e. 8 out of total of 80.
94
95 === Exams ===
96
97 Data: 24.10.2011.
98 Time: 10:00-13:00.
99 Place: Exactum, B120.
100
101 ====== Notes ======
102
103 *The exam will contain six questions of which one bonus question is related to the self study parts.
104 *Each question is worth a point.
105 *You will //not// need a particular table or formula as they will be presented in the question if needed.
106 *There would be two separate exams on 17.11.2011 & 6.3.2012. If interested to take any of those , send me an email two weeks to the desirable date and also register for it in the Student Affair Office C329, two weeks prior to the exam.
107 *Your previous solutions to the exercises (if you handled in any) will not count toward your final grade if you take separate exam.
108
109 === Bibliography ===
110
111 Sheldon Ross, A First Course in Probability, Pearson, 2006.
112
113 === Type ===
114
115 NOTE. This course is for international Master´s degree program students. The course does not correspond or compensate the compulsory course "Johdatus todennäköisyyslaskentaan" in the degree requirements of mathematics and statistics.
116
117 === [[Registration>>url:https://oodi-www.it.helsinki.fi/hy/opintjakstied.jsp?html=1&Tunniste=57781||shape="rect"]] ===
118
119 Did you forget to register? [[What to do>>doc:mathstatOpiskelu.Kysymys4]].