Name: SOLUTIONS
MassachusettsInstituteofTechnology
DepartmentofMechanicalEngineering
DepartmentofElectricalEngineeringandComputerScience
2.830J/6.780J Control of Manufacturing Processes
Spring2008
Qui
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
6.231 Dynamic Programming
Midterm, Fall 2009
Problem 1
(30 points)
An enterprising nancier dreams of making it big in the currency market. He may trade between n currencies
c1 , . . . , cn and can con
6.231 Dynamic Programming and Optimal Control
Midterm Exam, Fall 2011
Prof. Dimitri Bertsekas
Problem 1: (50 points)
Alexei plays a game that starts with a deck with b black cards and r red
cards. Ale
MIT 6.780J 2008: Problem set 8 solutions
Problem 1: example solution courtesy of M. Imani Nejad
a) first we calculate the averages and then use the formula in May and Spanos to find b and b 0 :
x=
y=
18.440 Practice Midterm 2 Partial Solutions
1. (20 points) Let X and Y be independent Poisson random variables with
parameter 1. Compute the following. (Give a correct formula involving
sums does not
MIT 2.830/6.780 Problem Set 6 (2008) Solutions
Problem 1
See the following pages for exemplary solutions (courtesy X. Su and K. Umeda)
For the t-test part of the question, two approaches were accepted
o~G^GzG 2008
G
wGXGOXYTXWPG
OPG
Factorial Fit: Color versus Solv/React, Cat/React, .
Estimated Effects and Coefficients for Color (coded units)
Term
Effect
Coef
Constant
2.7700
Solv/React
1.4350
Cat/R
18.440 Practice Final Exam: 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 computations.
Solution to Midterm 6.231 2009 Fall
Problem 1
(a) We consider a completely connected directed graph consisting of n nodes (each represents a currency).
The length of an arc from i to j is aij = ln rij