Version 5/13/2011
Distributions
Using Probability DistributionsPoisson and Exponential
Section 14.0: Poisson and Exponential Distributions
In the previous chapter we developed two discrete distributions, the Binomial and the Geometric. Each
distribution i
EngineeringProbabilityandStatistics
IE6200
Introduction Chapters1and6
Prof.Martinez
Whatengineersdo?
An engineer is someone who solves problems of interest to
society with the efficient application of scientific principles by:
Refining existing products
2: Joint Distributions
Bertille Antoine
(adapted from notes by Brian Krauth and Simon Woodcock)
In econometrics we are almost always interested in the relationship between two or more
random variables. For example, we might be interested in the relationsh
Statistical methods
1.
Pareto diagrams and dot diagrams:
It is essential to collect data to provide the vital information
necessary to solve engineering problems. Graphical
illustration is an effective tool to describe the information.
Pareto diagrams and
Section 5.3
5.3.1
Expected Value and Variance
5.3 EXPECTED VALUE AND VARIANCE
def: The expected value of a random variable
X on a probability space (S, p) is the sum
E(X) =
X(s)p(s)
sS
Example 5.3.1: The expected outcome of a
fair die is
1
1
1
1
1
1
21
7
Proof
P
2
(XX)
n
Is Biased Estimator Of 2
Preliminaries:
is the population mean.
2 is the population variance.
is the sample mean and is a random variable.
X
It is a given that E(X) = and Var(X) = 2 .
We will make extensive use of the results E(aX + b
OR 7230 Homework #3
Due on Monday, February 27 beginning of the class
1. (10 points) For a Poisson process show, for < , that
!
!
= = =
1
, = 0,1, ,
2. (10 points) Let cfw_ , 0 be a Poisson process with rate . Calculate
[ + ].
3
Q1- We want to decrease the effect of trend and increase the effect of latset demad therefore, larger
tends to more accurate demand prediction.
Q2a- No- the M.A with N=1 is the same as Exponential Smoothing with equal to 1 .
b- NO
c- Yes
Q3Moving Average
3.8. The time to failure in hours of an electronic component subjected to an accelerated life test is
shown in Table 3E.1. To accelerate the failure test, the units were tested at an elevated temperature
(read down, then across).
(a) Sample average: 129.9
NortheasternUniversity
MechanicalandIndustrialEngineeringDepartment
IE4516QualityAssurance
Fall2016
Prof.Martnez
Homework2
Chapters1and2
1.
Select a specific product or service, and discuss how the eight dimensions of quality impact its overall
acceptance
Midterm Practice Solutions
1. 0.861
2. Q* does not change
3. Q* increases
4.
a. The reorder point will be 44.2, order 102 units.
b. 6.8 weeks
c. SSP = 29.9 , SSC = 14 , The periodic review model requires more safety stock.
5.
a. It decreases
b. It is not
IE 4525: Logistics and Supply Chain Management
Behroozi - Fall 2016
NAME:_
Quiz #1 September 19, 2016
FILL IN THE BLANK. (3 POINTS)
1. A supply chain is a system of organizations and processes that interact to convert
_Raw Materials_ into _Goods
IE 4525 Fall 2016
Homework 4
Due: October 31, 2016
100 points.
Instructions:
This assignment is to be done individually - you must do your own work.
You must show your work and write out the associated calculations to receive full
credit.
Part I. (20 Po
IE 4525 - Fall 2016
Homework 5 - Solution
100 points.
Instructions:
This assignment is to be done individually - you must do your own work.
You must show your work and write out the associated calculations to receive full credit.
Part I.(50 Points)
Chapte
IE 4525 Fall 2016
Homework 4
Due: October 31, 2016
100 points.
Instructions:
This assignment is to be done individually - you must do your own work.
You must show your work and write out the associated calculations to receive full
credit.
Part I. (20 Po
IE 4525 Fall 2016
Homework 2
Due: September 29, 2016
100 points.
Instructions:
This assignment is to be done individually - you must do (and show) your own work.
For any questions in which you are asked to do calculations for multiple time
periods (e.g.
Root Beer Game Homework Part A Preparing for the Game
Note: Please read the directions below carefully and make sure you meet each individual deadline.
Step 1: Purchase access to the online simulation
Each student must purchase access to the online simula
Supply chain
Yitao Song (Anthony)
Due date 10/26/2016
Root Beer Game Homework Part B
After completing the beer game in class, please complete the following questions, submit the assignment online, and
bring one copy with you to class on Wednesday, October
Name: . . . . . . . . . . . . . . . . . . . . . . . .
IE 4525
Midterm 1 - Practice Questions
Fall 2016
1
Forecasting Questions
1. You are using Holts method to forecast demand. The trend in your data series experiences an abrupt change (e.g., you sell bot
4.1. '3'
Suppose that you are testing the following hypotheses where the variance is known:
Hn:,u=100
H1:,u:t100
Find the Pvalue for the following values of the test statistic.
cfw_a 20 = 2.75
From Appendix II, (13:20 = (131175] = 0.99702
For a twosided t
IE 4525: Logistics and Supply Chain Management
Fall 2016
Homework Assignment 1
Due Thursday, September 15, 2016
Submission Directions: This assignment is due, via Blackboard submission, on Thursday, September 15th
at the beginning of class (1
IE 4525
Fall 2016
Homework 5
Due: November 10, 2016
100 points.
Instructions:
This assignment is to be done individually - you must do your own work.
You must show your work and write out the associated calculations to receive full
credit.
Part I.(50 Po
IE 4525 - - Fall 2016
Homework 6
100 points
Due: December 1, 2016
NOTE: You may work on this assignment in groups consisting of TWO PEOPLE (BUT
NO MORE), if you wish. Only one submission is needed if you work with another
student.
Question 1.
Suppose you