zyein University
Industrial Engineering
Professor Enis Kay
IE 215 Fall 2013
IE 215: Probability for Industrial Engineering
Fall 2013
Problems Session 3 Questions
1. The number of hours that a student spends on IE215 homework is a random variable
X with CD
zyein University
Industrial Engineering
Professor Enis Kay
IE 215 Fall 2013
IE 215: Probability for Industrial Engineering
Fall 2013
Problems Session 5 Questions
1. Suppose that X and Y are independent and Z = X+Y. Find if
a.
, > 0
() = cfw_
0,
, > 0
IE 215
Probability for Industrial Engineering
ENS KAYI
Parts of these notes are based on Murat Uysals ECE316 lecture notes.
Finding Probabilities
Very often, we do not know the distribution of a random
variable, but we can estimate the mean and/or the
var
zyein University
Industrial Engineering
Professor Enis Kay
IE 215 Fall 2013
IE 215: Probability for Industrial Engineering
Fall 2013
Problems Session 4 Questions
1. Two types of coins are produced at a factory: a fair coin and a biased one that
comes up h
zyein University
Industrial Engineering
Professor Enis Kay
IE 215 Fall 2013
IE 215: Probability for Industrial Engineering
Fall 2013
Problems Session 1 Questions
1. A symphony orchestra has in its repertoire 30 Haydn symphonies, 15 modern works, and
9 Bee
IE 215
Probability for Industrial Engineering
ENS KAYI
Parts of these notes are based on Murat Uysals ECE316 lecture notes.
Combinatorial Analysis
In many problems in probability theory, we need to count the number of
different ways that a certain event
IE 215
Probability for Industrial Engineering
ENS KAYI
Parts of these notes are based on Murat Uysals ECE316 lecture notes.
Announcements
Quiz #1 is on October 23rd :
Section B: It will start at 10:30 am.
Section A: It will start at 11:35 am.
These times
IE 215
Probability for Industrial Engineering
ENS KAYI
Parts of these notes are based on Murat Uysals ECE316 lecture notes.
Announcements
No class on October 30th
Quiz #2 is on November 7th :
Section A: It will start at 1:30 pm.
Section B: It will start a
IE 215
Probability for Industrial Engineering
ENS KAYI
Parts of these notes are based on Murat Uysals ECE316 lecture notes.
Announcements
Midterm is on November 21th :
Both SECTIONS: From 19:40-21:40
It is a comprehensive exam (includes all the material w
Quiz Exam [E 215: Probability for Industrial Engineering
Quiz 2 Fall 2013
IE 215
Probability for Industrial Engineering
INSTRUCTIONS
o This is a closedbook exam. You can bring ONE single regular sized A4 paper
with your own notes (both pages front and bac
IE 215
Probability for Industrial Engineering
ENS KAYI
Parts of these notes are based on Murat Uysals ECE316 lecture notes.
Announcements
Quiz #3 is on November 12th :
Section A: It will start at 1:30 pm.
Section B: It will start at 2:35 pm.
These times a
Quiz Exam [E 215: Probability for Industrial Engineering
Quiz 3 Fall 2013
IE 215
Probability for Industrial Engineering
INSTRUCTIONS
o This is a closedbook exam. You can bring ONE single regular sized A4 paper
with your own notes (both pages front and
Quiz Exam IE 215: Probability for Industrial Engineering
Quiz 4 Fall 2013
IE 215
Probability for Industrial Engineering
INSTRUCTIONS
o This is a closedbook exam. You can bring ONE single regular sized A4 paper
with your own notes (both pages front and b
zyein University
Industrial Engineering
Professor Enis Kay
IE 215 Fall 2013
IE 215: Probability for Industrial Engineering
Fall 2013
Problems Session 2 Questions
1. The sample space of a random experiment is cfw_a, b, c, d, e, f, and each outcome is
equal
IE 215
Probability for Industrial Engineering
ENS KAYI
Parts of these notes are based on Murat Uysals ECE316 lecture notes.
Announcements
Quiz #4 is on December 30th :
Section B: It will start at 10:30 pm.
Section A: It will start at 11:35 pm.
These times
IE 215
Probability for Industrial Engineering
ENS KAYI
Parts of these notes are based on Murat Uysals ECE316 lecture notes.
Basic Definitions
Probability is defined in Websters dictionary as the chance that a given
event will occur. Mathematically speaki