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
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 param
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
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 viola
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 fin
1.
2. Total of 10 balls. 6 are red and 4 are blue. Total ways of choosing 4 balls is 10C2
a. P(3 red & 1 blue) = (6C3*4C1)/(10C2)
b. P(2 red & 2 blue) = (6C2*4C2)/(10C2)
c. P(1 red & 3 blue) = (6C1*4C
1. Given P(A,B) = P(A)P(B) => P(A,B) = P(A B)
a. P(B,C) = P(B)P(C) => P(B,C) = P(B C)
b. P(C,A) = P(C)P(A) => P(C,A) = P(C A)
c. If A and B are independent, then P(A B) = P(A)P(B) => P(A,B) = P(A)P(B)
1. Hypergeometric Distribution
a.
2. Binomial Distribution
a.
3. Statistical Testing
a. The probability of guessing one integer right is 1/3.
b. The probability of guessing n integers right is 1/3^n
c
1.
2.
a.
3. a) as z score =(X-mean)/std deviation
for 73 in ; zscore for basketball player =(73-80)/6=-1.1667
for 73 in ; zscore for Golf player =(73-70)/5=0.6
as z score for golf player is near to me
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 examp
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 fin
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
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, 11
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 student
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
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
1. Make your own pizza
a. A pizza with 0 toppings = 1;
i. Number of pizzas with 1 topping = 10;
ii. Number of pizzas with 2 toppings = 10^2;
iii.
Number of pizzas with 3 toppings = 10^3;
iv.
Number of
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
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 i
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 i
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 i
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 i
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
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
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
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 (
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 v
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
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
Compo