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
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 d
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 ot
MATH 32
Worksheet 00: Review of Math: 21,22,23
Fall 2016
1. Find the value of p that maximizes
S(p) = p ln p (1 p) ln(1 p).
2. Evaluate the integral or show that it is divergent.
Z
Z
x
(a)
xe dx
(b)
MATH 32
Worksheet 04: Chapter 4
Fall 2016
1. 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 component is, i
MATH 32
Worksheet 02: Chapters 3
Fall 2016
1. R Exercise: Coin toss simulation. We discussed how computer can be used to simulate
chance events. We can use these simulation to validate some of the pro
MATH 32
Worksheet 01: Chapter 2
Fall 2016
To solve the problems 16, I suggest the following strategy:
(i) describe the sample space by listing all possible outcomes or by describing precisely what eac
MATH 32
Worksheet 03: Chapters 4
Fall 2016
1. R Simulation: For the following simulation write down the results that you obtained and
the meaning of the results. How do these results compare to the th
# Solutions for HW 11
# Question 1
# load data set
load('timber.RData')
# iqr for density
iqr.density = quantile(x=timber$Density,probs=0.75,type=6) quantile(x=timber$Density,probs=0.25,type=6)
# iqr
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 se
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. Part
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 wil
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
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
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 n
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 an
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 ou
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, su
HW 7 Solutions, Math 32, Spring 2016, Prof. Bhat
1. We see that U must be in the interval (0, 1)remember that because U
is a continuous random variable, there is no probability that U exactly
equals e
HW 1 SOLUTIONS, Math 32, Spring 2016, Prof. Bhat
1. Calculate
Z
1
|x| dx.
1
Solution: Keep in mind that
(
x
x0
|x| =
x x 0.
With that in mind, we see that:
Z 1
Z 0
Z 1
|x| dx =
|x| dx +
|x| dx
1
1
0
Z
HW 8 Solutions, Math 32, Spring 2016, Prof. Bhat
1. To find K, we use the fact that
Z Z
f (x, y) dx dx = 1.
x=
y=
Using the form of f , we have
Z 1 Z 2
3x2 + 8xy dx dy = 1.
K
x=0
y=0
Lets do the y in
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
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 d
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 d
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 d
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
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 d
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 d
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 g
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 plan
Math 32, Spring 2016, Homework 2
Please read through the following instructions and make sure you understand them before
beginning. Please use CatCourses to send a message to the entire instructional