Assignment 1 Part II
Question 1
A random sample of adults was asked how many books they typically read in a year. The
following contingency table shows these results along with their age group.
Less than 40 Years Old
40 Years or More
None
15
27
1-2
Chapter Terms
Chapter 1: An Introduction to Statistics
- Statistics: a way of reasoning, along with a collection of tools and methods, designed to
help us understand the world
- Data: Data are values, along with their context
Chapter 2: Data
- Business An
Week 1 Q&A:
Qu.#1
According to an article published in 2005, in a Canadian Financial
affairs magazine, RRSPlans permit employees to shift parts of their
before tax income into various investment vehicles. Employers
typically match 100% of the employees co
ASSIGNMENT#3
BUSr1065/ECON211s
Name
Totalpossiblemarks: 34
PartA-ChapterNine
L.
l) .,6,)eps
22 MARKS
Of the 14774 families living in the town of West Falls, a random sample of 720 families was taken to determine
the mean family income. A90% confidence int
:6. m. 85.
scan2.2. 2. 05 .= moo. 33. EB 35. uEEam u. 2. b=EanoE u.E.o.&. u. 5.
2:5; .=o_.uc.uu.m 323. u. .8. .2. m2. 3. .225. o. 2. .33. 3.3.: u. 2.
23.22. 3:252. a. wag.3. 2.: .5. 05.53 c. u_pnca2 mm ._ .38 was. m. 35233.
5. an. .6 35. 29. a. = 5.56 .32
112 Chapter 3 Discrete Random Variables and Their Probability Distributions
3.46
3.47
3.48
3.49
3.50
3.51
3.52
3.53
Construct probability histograms for the binomial probability distributions for n : 5, p = .1,
.5, and .9. (Table 1, Appendix 3, will red
232 Chapter 5
Multivariate Probability Distributions
5.1
5.2
5.3
5.4
distributions of the populations of joint Observations (y1, y2, . . . , y,) for the discrete
case and the continuous case, respectively. In the continuous case,
P(YtEYI,Y2Ey2,~.-,YnSyiz)
Shelter, Housing and Recovery: A
Comparison of U.S. Disasters
ROBERT BOLIN AND LOIS STANFORD
In this paper we examine the issues associated with the tempora y sheltering and
housing of victims after natural disasters in the United States. Specific topics
4.8
4.9
4.10
4.11
4.12
Exercises 167
b Use Table 1, Appendix 3, to obtain P(2 < Y 5 5) and P(2 5 Y _<_ 5). Are these two
probabilities equal? Why or why not?
c Earlier in this section, we argued that if Y is continuous and a < b, then P(a < Y < b) =
P(a 5
4.93
4.94
4.95
4.96
4.97
4.98
4.99
Exercises 1 91
the cost C of completing this operation to the square of the time to completion. Find the mean
and variance of C.
Historical evidence indicates that times between fatal accidents on scheduled American do
m
364 Chapter 7 Sampling Distributions and the Central Limit Theorem
Even when the population variances are equal, the probability that the ratio of
the sample variances exceeds 3.48 is still .05 (assuming sample sizes of m = 6 and
112 = 10). I
7.9
7.10
176 Chapter 4 Continuous Variables and Their Probability Distributions
THEOREM 4.6
Proof
4.38
4.39
4.40
4.41
4.42
4.43
4.44
If 91 < (92 and Y is a random variable uniformly distributed on the interval
(01, 92), then
9 9 a a 2
n=E(Y)= 1+ 2 and a2=V(Y)=
Lab #1 Introduction to the
Vascular Plant Body
Lab Section
40% of your final grade
10% lab worksheets (8 total)
10% quizzes (3 total)
10% lab report (1)
10% lab exam (1)
Attendance is mandatory
Hand-outs and textbooks will be helpful
No make up missed act
Summary of 2.1
Distribution (Parameters) | Prob. Space
Bernoulli cfw_p p: prob of success # of successes in a
trial
Binomial cfw_n.p) n: xed # of trials # of successes in n
p: prob of success iid Bernoulli trials
Geometric (p) p: prob of success # of tria
MAT224H1F: Linear Algebra II
Problem Set #6
Solutions to Tutorial Problems
1. Let T : P2 (R) R3 be defined by
f(0)
T (f(x) = f(1) .
f(2)
Let = cfw_1, x, x2 , and be the standard basis of R3 .
(a) Find [T ] .
(b) Show thatT
is an isomorphism.
a
(c) Find T
Midterm Review
What to do:
Read lectures 1-6
Do the assigned exercises from the textbook
Go over the quiz questions
Use sample tests to practice
Use extra TAs' office hours
1. Given that A and B are independent with ( ) = 0.8 and ( ) = 0.3, find
P(A)
MAT224H1F: Linear Algebra II
Final Exam Review Sheet
G ENERAL C OMMENTS
This document is designed to help students prepare for the final exam in MAT224F.
However, it is absolutely not intended to summarize or be a substitute for the lecture
notes and prob
MAT224H1F: Linear Algebra II
Problem Set #7
Solutions to Tutorial Problems
Tutorial Problems
1. Let = cfw_1, x, x2 , x3 and = cfw_1, x1, (x1)2 , (x1)3 . These are both bases for P3 (R).
Find the change of basis matrices [I] and [I] . (Here I is the ident
MAT224H1F: Linear Algebra II
Problem Set #4
Solutions to Tutorial Problems
1. (a) Suppose V is an n-dimensional vector space, and is a basis of V. Let Id : V V
be the identity transformation, i.e. the transformation defined by Id(v) = v. Show that
[Id] is
University of Toronto
Faculty of Arts & Science
MAT224H1F: Linear Algebra II
Quiz #1
LEC 5101
Instructor: P. Crooks
SOLUTIONS
1
1. In each of the following cases, determine whether U is a subspace of V . Justify your conclusions. [10 marks]
(a) V = P2 (R)
Example 1
The interest rate is of 5% per
annum simple. Calculate the
amount of money which must be
invested on January 1, 2004 to
produce $1,500 on January 1,
2014.
Example 2
Mr. Chan deposits $1,000 on
January 1, 2007 at a rate of i
effective. Mrs. Smith
Workers Benefit Fund (WBF) Assessment
Workers Benefit Fund (WBF) Assessment
Table of Contents
Background 2
Subjectivity 3
Assessment Rate 5
Determining Hours Worked 6
Calculating the Assessment 8
Reporting 10
Amending Forms 13
Credit Transfer or Refund 14
Chapter 5
Summarizing Bivariate
Data
Weight
Suppose we found the age and weight
for each person in a sample of 10
adults. Is there any relationship There
between the age and weight of does not
these
appear to
adults?
Do you think there is a be a
relations
Chapter 9
Confidence Intervals
Suppose we wanted to estimate the
proportion of blue candies in a VERY
large bowl.
How might we go about estimating this
proportion?
We could take a a
We would have
sample of candies
sample proportion
and a statisticthe
or c
Chapter 12
The Analysis of
Categorical Data and
Goodness of Fit Tests
Suppose we wanted to determine if the
proportions for the different colors in a
large bag of M&M candies matches the
proportions that the company claims is
in their candies.
k is used t
Chapter 4
Numerical Methods
for Describing Data
Population characteristic
Suppose we want to know the MEAN
-length of all the fish in Lake Lewisville .
Fixed value about a population
.
Is this a value that is known?
Typical unknown
Can we find it out?
At
Chapter 2
Collecting Data Sensibly
Note: Correct usage of the vocabulary in this
chapter is VERY important!
Consider the imply that spanking is the
These headlines following headlines
CAUSE of the observed difference in 25,
which occurred on SeptemberIQ.
Chapter 6
Probability
Suppose two six-sided die is rolled and
they both land on sixes.
Or a coin is flipped and it lands on
heads.
Or record the color of the next 20 cars
to pass an intersection.
These would be examples of chance
experiments.
Chance exper