MATH 32
Worksheet 03: Chapters 34
Spring 2012
1. A survey of people in a given region showed that 20% were smokers. The probability of death
due to lung cancer, given that a person smoked, was roughly 10 times the probability of death
due to lung cancer,
Midterm 2, Math 32, Fall 2016
Instructions: you have 50 minutes to complete this exam. There are 10 problems that will count for a total
of 100 points. You are allowed to use a cheat sheet, which is defined to be one 8.5 inch by 11 inch, doublesided, hand
Name:_
SID:_
Section:_
Final Exam -Math 032-F 07
The exam is 50 minutes long. No notes are permitted, but calculators are.
Show your work.
Problem
1
2
3
4
5
6
7
8
Total
Score out
of 10
1. Find three numbers whose sample mean is 2 and whose sample variance
Name:_
SID:_
Section:_
Midterm Exam #2-Math 032-F 07
Instructor: Devin Greene
The exam is 50 minutes long. No notes are permitted, but calculators are.
Show your work.
Problem #1
Let A=cfw_It rains and let B=cfw_It pours. Transcribe the following
statemen
Name:_
SID:_
Section:_
Midterm Exam #3-Math 032-F 07
Instructor: Devin Greene
The exam is 50 minutes long. No notes are permitted, but calculators are.
Show your work.
Problem
1
2
3
4
5
Total
Score out
of 10
Problem #1
Fifty tickets labeled 1 through 50 a
MATH 32 Final Exam
Fall Semester 2008
Duration: 3 hours
Instructions: A cheat sheet on one side of a 8.5x11 page is allowed and must be turned in with
the exam. A calculator is allowed when adding, subtracting, multiplying, dividing, and calculating the m
Sample Space products
Ch2: Lecture 3
Definitions
Probability of an event taking place
Joint and disjoint events
Products of sample spaces
In combined experiments we are looking at
events from many sample spaces.
The same experiment can be performed
se
Outcomes, events, and probability
Ch2: Lecture 2
Definitions
Probability experiment
Sample space.
Outcome,
Event
Venn Diagrams
A U Bc
Ac Bc
A Bc
A Bc U B
Probability Definition
Probability of an event taking place
P(E) = (number of outcomes in E
Outcomes, events, and probability
Ch 2:
Ch 2 Summary
Sample Spaces
Events
Probability
Product of sample space
Infinite sample space
2.1 Sample spaces
The world around us is full of phenomena we
perceive as random or unpredictable.
Chance processes
MATH 32
Worksheet 9: Chapter 10
Spring 2012
1. Exercise 10.7 of text.
2. The joint probability density function of X and Y is given by
1 + xy , |x| < 1 and |y | < 1
f (x, y ) =
4
0,
otherwise
(a) Determine E[X ].
(b) Calculate Var(X ).
(c) What are the v
MATH 32
Worksheet 07: Chapter 7
Spring 2012
1. Let X = the outcome when a fair die is rolled once. If before the die is rolled you are oered
either 1/3.5 dollars or h(X ) = 1/X dollars, would you accept the guaranteed amount or
would you gamble? (Note: It
MATH 32
Worksheet 06: Chapter 5
Spring 2012
1. 15 min Quiz #3.
2. (in last worksheet as well) Let X denote the position of the rst defect on a digital tape (in
cm). X is a random variable with an exponential distribution with parameter 1/100.
(a) Write do
MATH 32
Worksheet 05: Chapter 5
Spring 2012
1. Go over the Midterm1. You have 10 min to look over it and request regrade. Regrades are
done only in cases when problems were seriously misgraded. We will not regrade requests
where youre attempting to squeez
MATH 32
Worksheet 04: Chapter 4
Spring 2012
1. 15 min Quiz #2 from three problems listed on Homework 4 sheet.
2. A satellite system consists of 4 components and can function adequately if at least 2 of the
4 components are in working condition. If each co
MATH 32 Final Exam
Spring Semester 2009
Duration: 3 hours
Instructions: Answer all questions, without the use of notes or books. Calculators may be used to
calculate numbers only. Partial credit will be awarded for correct work, unless otherwise specied.
MATH 32 Midterm 1
Spring Semester 2009
Duration: 50 minutes
Instructions: Answer all questions, without the use of notes, books or calculators. Partial credit
will be awarded for correct work, unless otherwise specied. The total number of points is 80.
1.
MATH 32 Midterm 2
Spring Semester 2009
Duration: 50 minutes
Instructions: Answer all questions, without the use of notes or books. Calculators may be used to
calculate numbers only. Partial credit will be awarded for correct work, unless otherwise specied
Probability-Statistics Glossary
Math 32, Spring 2016, Prof. Bhat
Probability
Statistics
X is a random variable. We start with certain
knowledge regarding the PDF f (x) and/or
the CDF F (x) of X. Using this knowledge and the
methods in Chapter 6, we can ge
Midterm 1 Version 2, Math 32, Fall 2016
Instructions: you have 50 minutes to complete this exam. There are 16 problems that will count for a total
of 100 points. No calculators, books, or electronic devices of any kind are allowed. When you turn in your
S
Midterm 2, Math 32, Fall 2016
Instructions: you have 50 minutes to complete this exam. There are 10 problems that will count for a total
of 100 points. You are allowed to use a cheat sheet, which is defined to be one 8.5 inch by 11 inch, doublesided, hand
Midterm 2, Math 32, Fall 2016
Instructions: you have 50 minutes to complete this exam. There are 10 problems that will count for a total
of 100 points. You are allowed to use a cheat sheet, which is defined to be one 8.5 inch by 11 inch, doublesided, hand
Midterm 1, Math 32, Fall 2016
Instructions: you have 50 minutes to complete this exam. There are 16 problems that will count for a total
of 100 points. No calculators, books, or electronic devices of any kind are allowed. When you turn in
your Scantron, y
Midterm 2, Math 32, Fall 2016
Instructions: you have 50 minutes to complete this exam. There are 10 problems that will count for a total
of 100 points. You are allowed to use a cheat sheet, which is defined to be one 8.5 inch by 11 inch, doublesided, hand
Midterm 1 Version 3, Math 32, Fall 2016
Instructions: you have 50 minutes to complete this exam. There are 16 problems that will count for a total of 100
points. No calculators, books, or electronic devices of any kind are allowed. When you turn in your S
Everything You Always Wanted to Know About Empirical Quantiles but
Were Afraid to Ask: The Books Version, Rs Version, and All That Jazz
Math 32, Spring 2016, Prof. Bhat
The goal of these notes is to give you a better understanding of empirical quantiles.
Math 32, Monday, 4/18/16, Prof. Bhat
Linear regression: the simple y versus x case with no vectors and no matrices.
Lets say you are given n data points cfw_(xi , yi )ni=1 . The points lie in the plane. Youd like to
find the least squares line of best fit
Midterm 1 Version 4, Math 32, Fall 2016
Instructions: you have 50 minutes to complete this exam. There are 16 problems that will count for a total
of 100 points. No calculators, books, or electronic devices of any kind are allowed. When you turn in your
S
MATH 32 Midterm 1
Fall Semester 2008
Duration: 50 minutes
Instructions: Answer all questions, without the use of notes, books or calculators. Partial credit
will be awarded for correct work, unless otherwise specied. The total number of points is 100.
1.
Name:_
SID:_
Section:_
Midterm Exam #1-Math 032-F 07
Instructor: Devin Greene
The exam is 50 minutes long. No notes are permitted, but calculators are.
Show your work.
Problem #1 (10 points)
A data set consists of 2 unknown values x and y as well as 0, fo
MATH 32 Midterm 2
Fall Semester 2008
Duration: 50 minutes
Instructions: A cheat sheet on one side of a 8.5x11 page is allowed and must be turned in with
the exam. A calculator is allowed as well. Partial credit will be awarded for correct work, unless
oth