ISE 261  Probabilistic Systems I
4. Of 41 professors, 29 use zcebook and 16 use mySPa
amen i.
professors use both zcebook and myspace. How many ,_ /
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.i 7
c. 10
d. 18
e. Non
s? 15E 261  Probabilistic Systems I Mammw
if Spring 2013
. MidTerm Exam
March 2013
Question 110 11 12 13 14 15 16 17 .18 19 20 21 22
1
Points 2ea.867667666660
Please circle the one best answer that
Amy Sytsma
ISE 261
2/07/2012
HOMEWORK ONE
Due Date: Tuesday
1. The amount of flow through a solenoid valve in an automobiles pollutioncontrol
system is an important characteristic. An experiment was
1. Section 1.1: Population, Samples, and Processes
2. Section 1.2: Pictorial and Tabular Methods in Descriptive Statistics
Stem and leaf
Dotplots
Discrete: if a set of numbers is either finite or e
ISE 261 Probabilistic Systems I
Spring 2008
Name:_Answers
Quiz Two
1. An article in Industrial Engineering discussed the importance of modeling machine
downtime correctly in simulation analysis. As an
ISE 261
1/26/2017
HOMEWORK ONE
Due Date: Thurs.
1. The amount of flow through a solenoid valve in an automobiles pollutioncontrol
system is an important characteristic. An experiment was carried out
Chapter 41
Metabolic water
Anatomy vs. physiology
Water synthesized through cellular respiration
Anatomy is organisms physical structure, while
physiology is the study of how these structures
/_.\
ISE 261 HOMEWORK TWO Due Date: %rsda 2/ 16
1. An electrical engineer has on hand two boxes of resistors. with tour resistor eae tn?"
:sismrs in the rst box are labeled 10 ohms. but in fact thei
11. During the fall semester, many years ago, 500 SUNY students enrolled in both Calculus
I and Physics I. Of these students, 82 earned an A in calculus, 73 earned an A in physics, and
42 mystically r
/ 7. A CMOS module of a computer system contains three electrical components, A, B, and C.
/ All three components must function for the CMOS module of the computer system to work
properly. The probabi
4. In Problem #2, what is the probability that a random piston has a porosity defect but no
underll defect? (Drawing a Venn diagram may help).
A: . mum): 003 oovooz
5. In Problem #2, what is the pr
15. A die is rolled 20 times. Given that three of the rolls came up 1, ve came up 2, four
came up 3, two came up 4, three came up 5, and three came up 6, how many different
arrangements of the outcome
ISE 261 Probabilistic Systems I
Spring 2007
Name:_Answers
Quiz Two
May 2007
1. An article in the Proceedings of the Twentyfirst Annual Joint Conference of IEEE
Computer and Communications Societies d

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. 15E 261 Probabilistic Systems I Name: W
Spring 2015
MidTerm Exam
March 2015
uestion 110 11 12 13 14 15 16 17 18192021
Points 2ea.777777777710
Please circle the one best answer that satise
1. Section 5.1: Jointly Distributed Random Variables
Joint pmf: P[(X,Y) A] = p(x, y)
Marginal pmf of x: P(X) = p(x, y) for all values of x
Marginal pmf of y: P(Y) = p(x, y) for all values of y
Joi
Statistic
Any quantity whose
value can be calculated
from sample data.
Point Estimate
Single number that can be
regarded as a sensible value
for a parameter. The value is
calculated from the given
Ran
Chapter Three
Discrete Random
Variables &
Probability
Distributions
Random Variable
A rule that
assigns a number
to each outcome in
the sample space.
Types of RVs
Discrete:
Possible values either
cons
ISE 261
PROBABILISTIC
SYSTEMS
Chapter One
Descriptive
Statistics
Engineering Statistics
Collect Data
Summarize
Draw Conclusions
Data Types
Categorical (Qualitative)
> Attribute
Variable (Quantitative)
Chapter Four
Continuous Random
Variables &
Probability
Distributions
Continuous Probability Distribution
(pdf) Definition:
b
P(a X b) = f(x)dx
a
For continuous RV X & a b.
Two Conditions for a pdf:
1)
Chapter Eight
Tests of
Hypothesis
Based on a
Single Sample
Hypothesis Testing Elements
Null Hypothesis H0:
> Prior Belief
Alternative Hypothesis Ha:
> Contradictory Belief
Test Statistic:
> Parameter
Chapter Seven
Statistical
Intervals Based
on a Single
Sample
Confidence Intervals
For the Population Mean :
100(1 )% Confidence Interval
(L,U) = x z/2
n
Common Z Values
99% CI = (.01)/2 = 2.58
95% C
Chapter Two
Probability
Probability Definitions
Experiment:
Process that generates
observations.
Sample Space:
Set of all possible
outcomes of an
experiment.
Event Definitions
Event:
Subset of outcome
Chapter Five
Joint Probability
Distributions &
Random
Samples
Joint Probability Mass Function
For Discrete RVs X & Y:
p(x,y) = P(X=x and Y=y)
For any set A consisting of pairs
Joint pmf Example
In an
/ _
ISE 261 Probabilistic Systems I Name: Mgg h. W9
Summer 2012
MidTerm Exam (j
Pomts 2ea.677677767
Please circle the one best answer that satisfies each question unless multiple answers are
specifi
Chapter 8: Introduction to Metabolism
Two Types of Energy (see Fig 8.2)
1. Kinetic energy
Energy of motion
@Molecular level = thermal energy (ie, heat) or light
Example: electrons falling to lower
Final Exam cheat sheet
sample distribution
Y =sample distribution of mean ~ estimation OfM = [A Y Z 0 0 _l
sample variance 5 b 19!
SZ=%I3 (n1~degree of freedom ) >4 j n,><_y (a _. )
population varia