16.881 – Robust System Design
Homework #3
The Context of Robust Design and
the Principles of Quality Engineering
Due Date:
Monday, June 15, 1:052:55 (the first meeting of 16.881)
Objectives:
•
Reinforce material from Phadke chapters 1 and 2
•
Tie that material back to fundamental principles from session #1
•
Apply concepts on the context of robust design in system development
Assignment
1.
Consider an experiment in which two, sixsided fair dice are rolled. One die is green,
the other is red. Let’s model the outcome on the green die as a discrete random
variable
G
and the outcome on the red die as a discrete random variable
R
and the
sum of the two outcomes as a discrete random variable
T
=
G
+
R
a)
Sketch the probability mass functions for
G
and
R
.
b) Compute the expected value and variance of
G
and
R
.
c)
Sketch the joint density function for
G
and
R
.
d) What is the covariance of
G
and
R
?
e)
Sketch the probability mass function of
T.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '03
 lDavidMiller
 Standard Deviation, Variance, Probability theory, probability density function, Probability mass function

Click to edit the document details