18.440 Midterm 2 Solutions, Spring 2011
1. (20 points) Jill polishes her resume and sends it to 900 companies she
nds on monster.com. Each company responds with probability .1
(independently of what a
Problem 1 (Innite Horizon Problem, 60 points)
An engineer has invented a better mouse trap and is interested in selling it for the right price. At the
beginning of each period, he receives a sale o er
18.440 Midterm 2 Solutions, Fall 2011: 50 minutes, 100 points
1. (20 points) Suppose that a fair die is rolled 72000 times. Each roll turns
up a uniformly random member of the set cfw_1, 2, 3, 4, 5, 6
6.231 Dynamic Programming and Optimal Control
Midterm Exam II, Fall 2011
Prof. Dimitri Bertsekas
Problem 1: (50 points)
Alexei plays a game that starts with a deck consisting of a known number
of blac
MIT 2.830/6.780 Problem Set 2 (2008) Solutions
Problem 1
Manyinterestingresponseswerereceived.Wecandiscussonanindividualbasiswhenselectingterm
projects.
Problem 2
Letxbetheconcentrationofparticlesinpa
Massachusetts Institute of Technology
Department of Mechanical Engineering
Department of Electrical Engineering and Computer Science
2.830J/6.780J Control of Manufacturing Processes
Spring 2008
Assign
MIT 2.830/6.780 Problem Set 3 (2008) Solutions
Part 1
Histogramsandnormalprobabilityplotsforintermingledsamplestakenfromtwopopulations,x1~
N(0,1)and x2~N(d,1),forvaluesofdbetween0and4:
Histogram for d
18.440 Practice Midterm: 50 minutes, 100 points
Carefully and clearly show your work on each problem (without
writing anything that is technically not true) and put a box
around each of your nal compu