# MATH 471&472 (2014-2015)

Fall 2014: Math 471 (Probability)
Spring 2015: Math 472 (Statistical Inference)

Lecture calendar

Required textbook: deGroot and Schervish, “Probability and Statistics”.

Prerequisites: Multivariable calculus (MATH 243/244) and, ideally, transition to advanced mathematics (MATH 321).

Grading: Best of two midterms 45%, homework 5%, final 50%.

Notes
The textbook uses $A\subset B$ for $A$ being a subset of $B$; more normal would be to write $A\subseteq B$.

Homework / Lecture problems for MATH 471

1.4: 4, 12 / 7, 13
1.5: 2, 14 / 6, 11
1.6: 8 / 7
1.7: 11 / 7
1.8: 11, 12, 17 / 8, 15, 22
1.9: 2, 4 / 7, 11
1.10:8, 13 / 4, 5

2.1: 15, 16 / 6, 8
2.2: 2, 7, 24 / 6, 14, 23
2.3: 8, 14 / 11, 12
2.4: 4 / 9

3.1: 1 / 9
3.2: 4, 9 / 2, 7
3.3: 11, 14, 19 / 1, 3, 20
3.4: 5 / 8
3.5: 5, 8 / 11, 13
3.6: 1, 3 / 4, 9
3.7: 3, 12 / 6, 14
3.8: 1, 5 / 15, 16
3.9: 1, 4, 8 / 13, 14, 21
3.10:5, 11, 12 / 9, 17, 19

4.1: 8, 16 / 9, 12
4.2: 2, 3 / 1, 9
4.3: 4, 14 / 2, 13
4.4: 11, 12 / 1, 3
4.5: 8, 15 / 14, 17
4.6: 3, 17 / 4, 16
4.7: 11, 16 / 6, 15
4.8: 5, 17 / 1, 6

5.2: 5, 8 / 12, 13
5.3: 11 / 6
5.4: 11, 13 / 1, 15
5.5: 4, 12 / 6, 7
5.6: 10, 11, 16 / 20, 21, 23
5.7: 6, 11, 16 / 5, 15, 19
5.8: 5 / 4
5.9: 1 / 4
5.10: 4, 12 / 7, 8

6.2: 4, 6, 19 / 10, 11, 12
6.3: 3, 13 / 7, 15
6.4: 1 / 2

Homework/lecture problems for MATH 472

7.1: 3 / 4
7.2: 5,6 / 4,11
7.3: 13,19,20,21,24 / 6,7,10,11,26
7.4: 1,8,11 / 6,12,14
7.5: 7,8 / 3,10
7.6: 1,4,9,13,15 / 2,10,12,23,25
8.1: 7 / 5
8.2: 7,12 / 3,10
8.3: 3 / 1
8.4: 4 / 5
8.5: 3,11 / 2,7
8.7: 2,9,10 / 5,7,13
9.1: 5,18,20,21 / 3,8,9,17
9.5: 6,11,12 / 7,10,16
9.6: 2,11 / 9,12
9.7: 5,6,10 / 8,16,17
11.1: 3,5 / 2,11
11.2: 2,10,18 / 7,14,17
11.3, 11.5, 11.6 are also on the syllabus but no numbered homework will be due from them.

Sections for the final exam in bold.

Homework for Tuesday, May 5:

Web traffic
The two most popular pages on the Math Department web site are http://math.hawaii.edu/wordpress/ (the home page)
and http://math.hawaii.edu/wordpress/fortran-1/.
The latter is presumably found by Google search, not by navigating from the home page.
Investigate the correlation between the number of visits to each page as follows.
The number of visits on a given day is given in the following files:
Home page
Fortran-1
Your tasks:
1. Create a regression line diagram for the data in the two files.
2. Calculate the sample regression coefficient for the same data. Does there seem to be a strong correlation?

Some problems that may be used to review parts of 11.3, 11.5, 11.6 (but are not to be turned in):
11.3: 12,15,17,23 / 7,9,20,21,22
11.5: 13,16,17,25,29 / 3,10,22,24,30
11.6: 7,8 / 1,12