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 is th
Problem Set #7
14.30  Intro. to Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, April 14, 2009
Question One
We just learned about the standard Normal distribution with PDF 4(x) and CDF @(x).
Let's familiarize ourselves with it, a
Problem Set #5

Solutions
14.30  Intro. to Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, March 31, 2009
Question One
The convolution formula is a useful trick when we are interested in the sum or average of
independent random
Problem Set #6

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

Solutions
14.30  Intro. t o Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, March 17, 2009
Question One
Suppose that the P D F of X is as follows:
e"
0
f (4=
1. Determine the P D F for Y
=X
forx > 0
forx50
i.
So
Problem Set #l

Solutions
14.30  Intro. to Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, February 17, 2009
Instructions
You may work together to solve the problems but must each hand in independentlywritten solutions,
so make
Problem Set #3
14.30  Intro. to Statistical Methods in Economics
Instructor: Konrad Menzel
Due: Tuesday, March 3, 2009
Question One
1. Write down the definition of a cumulative distribution function (CDF). Explain what
it means in words, perhaps using an