Week 8
Assignment 1
1. In a sample of 610 Bostonarea residents selected on July 2, 209 reported that they were
planning to travel beyond Massachusetts for the July 4th holiday.
(a) Use these data to
Week 9
Assignment 2
1. p. 470, #19
2. Approximately 13% of the general population is lefthanded. A researcher has recently come
into contact with a number of lefthanded artists and wonders whether a
7Math 118
Chapter 5C
Assignment
Please insert your answers into this document; either type your answers or expand the space between questions and write in your
answers. Please write in complete senten
Math 118
Chapter 2A
Assignment
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between questions and write in your answers. Please write in complete sentenc
Math 118
Module 3
Assignments Feb 12 2017
Chapter 6A
Please insert your answers into this document; either type your answers or expand the space
between questions and write in your answers. Please wri
Robert Goldman, 2017
Math 118
Chapter 5A
Assignment
Rev 2/08/2017
Please insert your answers into this document; either type your answers or expand the
space between questions and write in your answe
Math 118
Chapter 5B
Assignment
Please insert your answers into this document; either type your answers or expand the space between questions and write in your
answers. Please write in complete sentenc
The blood pressure is recorded for 25 patients at a hospital in Boston. In this context, the variable is: Blood Pressure.
Blood pressure is what changes, not the hospital, patients, or location.
The b
George Liu 41788974  2011
Sigma algebra and filtration = : . . ,2,1,0 =
a collection of subsets of , is a sigmaalgebra on if:
1. , 2. , 3.
Contidional Expectation: () =  1
Consider all  where
NCD Systems
To adjust the transition matrix: Pr(Claim) = Pr(Claim  Loss) Pr(Loss).
Expected Claims = Pr(Claim) (Avg. claim size  Loss > x) where x is the
minimum loss size needed to make a claim (ca
Stochastic Processes: Let , , be a probability space with , drift coefficient, , diffusion coefficient
information structure given by = , 0,
Geometric Brownian Motion: = + OR
= exp = +
Information
I
Brownian motion aka Wiener Process: SDE

cfw_I . I cfw_ cfw_ cfw_ . Jcfw_ $ cfw_ . Jcfw_ H cfw_ cfw_
I"
I cfw_
Increments are independent and indept of I i.e Jcfw_I , I . I cfw_
$ cfw_
Standar
Discrete Mathematics  Math 210  Schedule
Date
Wed.
Topic
9/2/2015 Intro; Talking, writing math
Reading/work to be
done before class
Comments
None
Fri.
Mon.
Wed.
Fri.
9/4/2015 Math sentences & sets
9
First Discrete Math Exam  Due Monday 9/28/15 at 8 a.m.
You may return this exam to me in person or by email.
Please do NOT send me a PDF.
This is an open book exam. The following and only the followi
Typing Math on a computer
Here are some common symbols. It is fine to copy them to the top of a page and copy each symbol as
you need it. Of course, you can also use LaTex or MathType.
Often, the easi
Problems to practice on with quantified logic
Symbols I use a lot (here for convenience)
~
1. Using the college example:
Let the domain of definition be all students (x, y, z.) and courses (c, d, e.
Second Discrete Math Exam  Fall 2015 Due on Wed. 10/21/15 at 8 a.m.
Name_
This is a take home exam. You may use your text book, the notes from class, and the Voice
Threads, but your should reference
Theorem from before: If a, b >0 and ab then a b
x
and x
Definition
Prop. 0
Proof:
x is the largest integer less than or equal to x
x is the samlles integer greater than or equal to x.
x
x
x
Pro
Problems for Section 4.1  Review Problems from 3.3
Write the following using quantifiers: (You should be able to do this in under 1 minute each!)
1. If an integer x is divisble by 2 and by 3 then it
Problems for Face to Face Session for Section 5.2 statements to be proved by induction
Practice problem #10: For any real numbers x and r and any n >0:
xn + xn1r + . +xrn1 + rn = [xn+1 rn+1] / [x r]
Problems for Face to Face Session for Section 4.1
Prove or give a counterexample:
a. If a, b are real numbers and a < b then a2 < b2
b. If m and n are odd integers then m + n is even.
c. If m and n ar
MATH 115 Number Systems & Algebra for Elementary School Teachers
SYLLABUS for FALL 2013
Course meeting times/place:
TuTh 8  9:20 a.m., Room: C218 (Main College Building)
Instructor: Donna Beers
Offic