ECN 0341-434 (1) Advance Macroeconomics II Marcelo Arbex
Student Name Exam I - Feb. 15, 2012
0 Instructions: Show your work for all questions. Make your answers clear. All your work must
be in this bo
Introduction to Probability, Fall 2013
Math 30530 Section 01
Homework 5 due in class Friday, October 4
General information
At the top of the rst page, write your name, the course number and the assign
Math 30530: Introduction to Probability, Fall 2013
Midterm Exam II
Practice exam solutions
1. Im taking part in the All-Ireland hay-tossing championship next week (hay-tossing is a real
sport in Irela
Examples involving conditional probability
Math 30530, Fall 2013
September 5, 2013
Math 30530 (Fall 2012)
Conditional examples
September 5, 2013
1/5
Im always late to work
60% of days I walk to work.
Discrete Random Variables
Math 30530, Fall 2013
September 18, 2013
Math 30530 (Fall 2012)
Discrete RVs
September 18, 2013
1/2
Setup for discrete random variables
To each outcome of experiment, assign
The basic elements of probability
Math 30530, Fall 2013
August 28, 2013
Math 30530 (Fall 2012)
Probability basics
August 28, 2013
1/2
Elements of probability
1
Experiment: involving chance, with measu
Paradox of the two children
Math 30530, Fall 2013
September 3, 2013
Math 30530 (Fall 2012)
Two children
September 3, 2013
1/3
Scenario 1: The elder is a girl
I have two children (not twins). The elder
Weak Law of Large Numbers & Central Limit
Theorem
Math 30530, Fall 2013
December 10, 2013
Math 30530 (Fall 2013)
Limit Laws
December 10, 2013
1/7
Weak Law of Large Numbers
X1 , X2 , X3 , . . . , Xn ar
Discrete probability models
Math 30530, Fall 2013
August 28, 2013
Math 30530 (Fall 2012)
Discrete models
August 28, 2013
1/2
Discrete probability models
1
Experiment: nitely many outcomes, or countabl
Independence of events (with example)
Math 30530, Fall 2013
September 11, 2013
Math 30530 (Fall 2012)
Independence
September 11, 2013
1/4
Independence of two events
A is independent of B if
Pr(A|B ) =
Continuous uniform probability model
Math 30530, Fall 2013
August 31, 2013
Math 30530 (Fall 2012)
Continuous models
August 31, 2013
1/2
Continuous uniform probability model
1
Experiment: Have a region
Miscellaneous discrete random variable examples
Math 30530, Fall 2013
September 27, 2013
Math 30530 (Fall 2012)
Discrete RV examples
September 27, 2013
1/7
Negative Binomial
10% of the population has
Bayes Formula and examples
Math 30530, Fall 2013
September 8, 2013
Math 30530 (Fall 2012)
Bayes formula
September 8, 2013
1/7
Example: Who did I beat?
When I play chess, I play Alice (10% of time), Bo
The basic rules of counting
Math 30530, Fall 2013
September 13, 2013
Math 30530 (Fall 2012)
Counting
September 13, 2013
1 / 12
Basic counting rule 1 The sum rule
Sum rule 1: if an experiment can proce
Introduction to Probability, Fall 2013
Math 30530 Section 01
Homework 9 not to be turned in
General information
Here are some problems from Section 4.1. This homework isnt to be turned in; it is just
Introduction to Probability, Fall 2013
Math 30530 Section 01
Homework 7 due in class Wednesday, November 6
General information
At the top of the rst page, write your name, the course number and the as
Math 30530 Introduction to Probability
Quiz 5 Monday December 9, 2013
Solutions
Instructions: This is a closed-book quiz. Please do not use any notes.
1. I toss a fair coin repeatedly until I rst toss
Math 30530 Introduction to Probability
Quiz 3 Wednesday October 9, 2013
Solutions
1. I have ve M&M candies in a bag; three are red and two are green. I take out three at random, and count
how many red
Introduction to Probability, Fall 2013
Math 30530 Section 01
Homework 6 due in class Friday, October 11
General information
At the top of the rst page, write your name, the course number and the assig
Introduction to Probability, Fall 2013
Math 30530 Section 01
Homework 8 due in class Friday, November 15
General information
At the top of the rst page, write your name, the course number and the assi
Como elaborar un mapa mental.
Para desarrollar un mapa mental de cualquier proyecto que tenga en mente, utilice las
siguientes instrucciones: (Necesitar papel, lpiz. goma y colores)
1. El mapa debe es
A MANTRA FOR YOU.
Its on the syllabus
Its on the syllabus
Its on the syllabus
MIDTERM, NEXT WEEK OCT 27, 1-3PM
You DO NOT need to come to class to take the midterm, it is taken
online through Bb
Und
24 Multiple Choice Questions from Chapter 1 - 4
Practice for Mid-Term Test
The Mid-Term Test will consist of 35 - 40 MCQs taken directly from material in the course textbook.
Below, is a sample of 24
190 Multiple Choice Questions from Chapter 1 & 2
Practice for October In-Class Test
No answers are provided for these questions!
The correct answers are in your textbook and lecture notes!
1)
Examples
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
Question #1 asks about the version
2)
Which one of the following is not a characteristic of an ol
Reading Strategies for MDSA01
Read textbook for details, read supplemental
readings for ideas
Textbook: Key terms and concepts, major
thinkers/figures, general timeline of events
If Im going to ask
Practice SAQ Questions for the October 2011 MGTA03 Mid-Term Test
The following 4 questions have all been used in MGTA03 tests and exams over the past
several years. They are similar in length and comp
FUNCIONAMIENTODELMOTORDECOMBUSTININTERNA
4.1 PRINCIPIO DE FUNCIONAMIENTO Y CINEMTICA DEL MOTOR
Un motor de combustin interna basa su funcionamiento, como su nombre lo indica, en el
quemado de una mezc