Missy Cummings Mary( Missy) Cummings received her B.S. in Mathematics from the United States Naval Academy in 1988, her M.S. in Space Systems Engineering from the Naval postgraduate School in 1994, and her Ph. D in Systems Engineering from the University of Virginia in 2003. A naval officer and military pilot from
Definition (1) Econometrics: economic measurement. (2) Econometrics: the social science in which the tools of economic theory, mathematics, and statistical inference are applied to the analysis of economic phenomena. (3) Econometrics: the result of a certain outlook on the role of economics, consists of the application of mathematical statistics to economic data to lend
This is an open-notes exam However, calculators are not allowed You may assume all results from lecture the notes, problem sets and recitation Write your solutions in the space provided. If you need more space, write on the back of the sheet containing the problem Be neat and write legibly. You will be
Problem Set 11 Solutions Due: 5PM on Friday, May 6 This is a mini-problem set. The first problem reviews basic facts about expectation. The second and third are typical final exam questions. Problem 1. Answer the following questions about expectation. (a)There are several equivalent definitions of the expectation of a random variable
Problem Set 9 Solutions Due: Monday, April 25 at 9 PM Problem 1. There are three coins: a penny, nickel, and a quarter. When these coins are flipped: The penny comes up heads with probability 1/3 and tails with probability 2/3 The nickel comes up heads with probability 3/4 and tails with probability 1/4. The quarter comes up heads with
Due: Monday, April 11 at 9 PM Problem 1. An electronic toy displays a 4x4 grid of colored squares. At all times, four are red, four are green, four are blue, and four are yellow. For example, here is one possible configuration:
Problem 1. An undirected graph G has width w if the vertices can be arranged in a se- quence V1,2,3,…,Vn such that each vertex v; is joined by an edge to at most w preceding vertices. (Vertex vj precedes if i.) Use induction to prove that every graph with width at most w is (w+1)-colorable
Problem set 3 Solutions Due: Tuesday, February 22 at 9 PM Problem 1. An urn contains 75 white balls and 150 black balls. while there are at least 2 balls remaining in the urn, you repeat the following operation. You remove 2 balls elected arbitrarily and then: If at least one of the two balls is black, then you discard one black ball and put the other ball back in the urn
