CHAPTER 1
Chapter 1
Name: Kara Ford
MATH1530
_ out of 10
1. A human resources group conducts a survey to determine recent trends in salary compensation
among college professors by setting up a booth at a professional conferenc
CHAPTER 8
Chapter 8
Name Kara Ford
MATH1530
_ out of 10
1. Express the claim, the null hypothesis and alternative hypothesis in symbolic form. Use the
correct symbol (p, , ) for the indicated parameter. Identify the type of test (two-tailed, lefttailed
CHAPTER 5
CHAPTER 5
Name: Kara Ford
MATH1530WWW
_ out of 10
1. Check whether each table describes a probability distribution. If yes, find mean and
standard deviation for the distribution.
a.
x
P(x)
0
0.1
1
0.7
2
-0.1
3
0.3
Mean: 1.5 Standard Deviation
CHAPTER 4
CHAPTER 4
Name: Kara Ford
MATH1530WWW _ out of 10
1. Suppose a study of speeding violations and drivers who use cell phones while driving
produced the following data:
Speeding violation in the last No speeding violation in the
Probability Space
A sample space 9 is a nonempty set. If a) is an element of Q, then cfw_to is an elementary
event (corresponding to 9) which contains the outcome w (of Q). A nonempty set need not
be a sample space; the sample space is chosen as part of a
CHAPTER 7
CHAPTER 7
Name: Kara Ford
MATH1530WWW
_ out of 10
1. A local college is conducting a study of several characteristics of its student body. A sample of
100 students is taken. The study finds that 14 of these students smoke.
a. Find the point e
CHAPTER 6
CHAPTER 6
Name: Kara Ford
MATH1530 _ out of 10
1. The readings on the scientific thermometers are normally distributed with a mean of
0 C and a standard deviation of 1 C. This is an example of the standard normal
distribution. Use Table A-2 o
CHAPTER 7
CHAPTER 7
Name: Kara Ford
MATH1530WWW
_ out of 10
1. A local college is conducting a study of several characteristics of its student body. A sample of
100 students is taken. The study finds that 14 of these students smoke.
a. Find the point e
CHAPTER 2
Chapter 2
Name: Kara Ford
MATH1530
_ out of 10
1. The median weight for twenty-two randomly selected sun bears are listed below.
127.6, 151.2, 148.4, 155.8, 116.1, 149.1, 142.3, 156.1, 99.7, 161.8, 119.3, 173.1, 154.2, 125, 140.2, 137, 144.2,
Chapter 3
Name: Kara Ford
MATH1530
_ out of 10
1. The median weight for twenty-two randomly selected sun bears are listed below.
127.6, 151.2, 148.4, 155.8, 116.1, 149.1, 142.3, 156.1, 99.7, 161.8, 119.3, 173.1, 154.2, 125, 140.2, 137, 144.2,
135.7, 135.6
CHAPTER10
Chapter 10
Name Kara Ford
MATH1530
_ out of 10
1. Suppose that we want to study the connection between success in math and success in
chemistry. Data points are shown below for six students grades in both math and chemistry:
Math Average
82
65
IQR (interquartile range) = Q3-Q1
A data value is an outlier if it is above Q3 by an amount greater than 1.5 x IQR
Or
Below Q1 by an amount greater than 1.5 x IQR
The IQR is 20.2. To be an outlier
CHAPTER 11
Chapter 11
Name Kara Ford
MATH1530
_ out of 10
1. In a study of injuries work at a certain company, the data below were found. Test the
claim that injuries occur on the different days of the week with equal frequency.
Day
Number of
injuries
Study guide
1. What is the (conditional) probability of A given B?
The (conditional) probability P (A | B) of A given B is
P (A | B) =
P (A B)
P (B)
(provided P (B) > 0 so that division by zero is avoided)
2. What does it mean to say A and B are independe
Study guide
1. What is a sample space?
A sample space is a nonempty set.
2. What is an outcome?
An outcome is an element of the sample space.
3. What is an elementary event?
An elementary event is a set whose only member is an outcome.
4. What is a -algeb
Vose Notes: Introduction to Probability
A sample space is a nonempty set. Each is an outcome , and cfw_ is an elementary
event .
1. What is a sample space?
A sample space is a nonempty set.
2. What is an outcome?
An outcome is an element of the sample sp
Vose Notes: Introduction to Probability
A sample space is a nonempty set. Each is an outcome , and cfw_ is an elementary
event .
1. What is a sample space?
A sample space is a nonempty set.
2. What is an outcome?
An outcome is an element of the sample sp
Vose Notes: Introduction to Probability
A sample space is a nonempty set. Each is an outcome , and cfw_ is an elementary
event .
1. What is a sample space?
A sample space is a nonempty set.
2. What is an outcome?
An outcome is an element of the sample sp
Vose Notes: Introduction to Probability
A sample space is a nonempty set. Each is an outcome , and cfw_ is an elementary
event .
1. What is a sample space?
A sample space is a nonempty set.
2. What is an outcome?
An outcome is an element of the sample sp
Homework4 : Answers
Suppose that 1000 items are tested, each fails with probability 0.07, and each test is
independent of every other test (assume 1000 is so large as to be essentially innite).
If is the number of tests up to and including the third fail
Vose Notes: Naive Set Theory (review)
Sets are often described by indicating their elements with a comma separated list; the set
A
=
cfw_
1,
name of set
begin list
2,
3
elements
end list
contains the positive integers less than 4. Sets are well dened col
2. Suppose that 1000 items are tested, each fails with probability 0 .07, and each
test is independent of every other test (assume 1000 is so large as to be essentially
infinite).If is the number of tests up to and including the third failure, what sort
Homework5
1. What is a derived random vector? Are random vectors derived from independent
random vectors independent?
Let : Rn be a random vector. If f : Rn Rm is a measurable function
(A Om = f 1 A (On ), where On = cfw_Sx | x Rn ) then f : Rm is a
deriv
Homework
1. Given random vector and positive probability event B , what is given B ?
The random vector |B has domain B , and is equal to on that domain; |B is
referred to as given B .
If is a random vector dened with respect to the probability space (B, A
Vose Notes: Introduction to Probability (.continued.)
Random Vectors
Corresponding to x Rn dene Sx Rn by
Sx = cfw_v | i cfw_1, . . . , n . vi xi
It follows that the collection On = cfw_Sx | x Rn is closed under intersection, and
i1 Sxi
Sx =
(EXTRA CREDI
Vose Notes: Introduction to Probability (.continued.)
Independence
Let C A be a collection of events. Elements of C are independent if and only if for every
nite subset T C ,
P(
A) =
AT
P (A)
AT
Compound Experiments
Given probability spaces (i , Ai , Pi )
Vose Notes: Introduction to Probability
A sample space is a nonempty set. Each is an outcome , and cfw_ is an elementary
event .
A collection (set) S is called countable if it can be expressed as
S = cfw_si | i I
where I Z ; in particular, such I are co
Vose Notes: Naive Set Theory (review)
Day 1
Sets are often described by indicating their elements with a comma separated list. For
example, the set
A
=
cfw_
1,
2,
3
name of set
begin list
elements
end list
contains the positive integers less than 4. Sets
Vose Notes: Probability Space
A sample space is a nonempty set. Each x is an outcome , and cfw_x is an
elementary event .
1. What is a sample space?
A sample space is a nonempty set.
2. What is an outcome?
An outcome is an element of the sample space.
3.