Problem Set #5

Solutions
14.30  Intro. to Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, March 31, 2009
Question O ne
T he convolution formula is a useful trick when we are interested in the sum or average of
independent rando
14.30 Exam I II
Spring 2009
Instructions: This exam is closedbook and closednotes. You may use a calculator and a cheat sheet
consisting of 1 page of notes or formulae. Please read through the exam rst in order to ask clarifying
questions and to allocat
Problem Set # l

Solutions
14.30  Intro. to Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, February 17, 2009
I nstructions
You may work together to solve the problems but must each hand in independentlywritten solutions,
so ma
14.30 Exam 3
Spring 2008
Instructions: This exam is closedbook and closednotes. You may use a calculator and a cheat sheet.
Please read through the exam rst in order to ask clarifying questions and to allocate your time
appropriately. In order to receiv
14.30 Exam I I
Spring 2009
Instructions: This exam is closedbook and closednotes. You may use a calculator. Please read
through the exam rst in order to ask clarifying questions and to allocate your time appropriately. In
order to receive partial credit
14.30 Exam I
Spring 2009
Instructions: This exam is closedbook and closednotes. You may use a calculator. Please read
through the exam rst in order to ask clarifying questions and to allocate your time appropriately. In
order to receive partial credit i
14.30 Exam 2
Spring 2008
Instructions: This exam is closedbook and closednotes. You may use a calculator. Please read
through the exam rst in order to ask clarifying questions and to allocate your time appropriately. In
order to receive partial credit i
Problem Set # 2

Solutions
14.30  Intro. to Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, February 24, 2009
Question 1
Recall that a random variable X has the binomial distribution if
where n is the number of trials and p i
Problem Set #3
14.30  Intro. to Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, March 3 , 2009
Question O ne
1 . Write down the definition of a cumulative distribution function (CDF). Explain what
it means in words, perhaps using
Problem Set #8

Solutions
14.30  Intro. t o Statistical Methods in Economics
T nst,ri~ctor: onrwd M enzel
K
Due: Tuesday, April 28, 2009
Question One: Law of Large Numbers and Central Limit
Theorem
P robably the two most important concepts that you will
Problem Set #9
14.30  Intro. to Statistical Methods in Economics
I nstructor: Konrad Menzel
Due: Friday, May 8, 2009
Question One: Confidence Intervals
( Adapted from BainIEngelhardt p. 384)
Consider a random sample of size n from a normal distribution
Problem Set #7
14.30  Intro. to Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, April 14, 2009
Question O ne
We just learned about the standard Normal distribution with PDF 4(x) and CDF @(x).
Let's familiarize ourselves with it,
Problem Set #6

Solution
14.30  Intro. t o Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, April 7, 2009
Question O ne
Let X b e a random variable that is uniformly distributed on [ O , 1 ] (i.e. f ( x) = 1 on that
interval and
Problem Set #4

Solutions
14.30  Intro. t o Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, March 17, 2009
Question O ne
S uppose that the P D F of X is a s follows:
e"
0
f ( 4=
1. Determine the P D F for Y
=X
f orx > 0
forx50
14.30 Exam I
Spring 2008
Instructions: This exam is closedbook and closednotes. You may use a calculator. Please read
through the exam rst in order to ask clarifying questions and to allocate your time appropriately. In
order to receive partial credit i