MAT2377
Ali Karimnezhad
Version September 21, 2015
Ali Karimnezhad
MAT2377 Probability and Statistics for Engineers
Chapter 2
Comments
These slides cover material from Chapter 2.
In class, I may use a blackboard. I recommend reading these slides before

Solution to Assignment 4, Fall 2014
Probability and Statistics for Engineers.
1. Textbook problems.
3.94. For 1 i 100, let Xi be 1 if the ith switch fails within a year and 0
otherwise. These are Bernoulli random variables, and
1
P[Xi = 1] = 1 e 2 0.393.

Population: The entire collection of elements
about which we wish to make inference.
Finite population: Finite number of elements
in the population
Example: Collection of voters in a community.
Innite Population: Innite number of elements in the populatio

Solution to Assignment 1, Fall 2014
Probability and Statistics for Engineers.
1.11
(a)
A C = cfw_0, 2, 3, 4, 5, 6, 8.
(b)
A B = cfw_ = .
(c)
C = cfw_0, 1, 6, 7, 8, 9.
(d)
(C D) B = cfw_1, 3, 5, 6, 7, 9.
(e)
(S C) = C = cfw_0, 1, 6, 7, 8, 9.
(f)
A C D = cf

MAT 2377, Final Exam Formula Sheet
1
MAT 2377 (Winter 2014)
Final Exam Formula Sheet
Addition Rule: P (A B) = P (A) + P (B) P (A B)
Conditional probability of A given B:
P (A|B) =
P (A B)
P (B)
Total probability rule:
P (A) = P (A B) + P (A B ) = P (A|

MAT 2377
Solutions to the Final Exam
August 4 2015
Time: 3 hours
Professor M. Alvo
Name:
Student number:
This is an open book examination. Only ocial faculty calculators are permitted.
Record your answers directly on this questionnaire in the
boxes indi

Bayes' Rule and Review exercises
2.92 Before the distribution of certain statistical software every fourth compact disk (CD) is tested
for accuracy. The testing process consists of running four independent programs and checking the
results. The failure ra

MAT 2377
Final exam
April, 2010
Time: 180 minutes
Professor: R. Kulik
Student Number:
Family Name:
First Name:
This is an open book examination.
Only non-programmable and non-graphic calculators are permitted.
Record your answer to each question in the ta

MAT 2377: Probability and Statistics for Engineers
Professor
Room 307 C,
585 King Edward Ave
M. Alvo
e-mail: [email protected]
Tel 562-5800 x 3534
Oce hours
Wednesday 9:00-10:30 A.M
Textbook:
Essentials of Probability & Statistics
for Engineers & Scientist

MAT 2377 A, Probability and Statistics for Engineers
Assignment 1 (Total = 50)
Professor: Termeh Kousha
Deadline: Friday, Jan 29, 2016 3pm (Math department (585 KED) drop boxes)
Late assignments will NOT be accepted; nor will unstapled assignments. Profes

Solution to Assignment 2, Fall 2014
Probability and Statistics for Engineers.
2.5. We must choose c so that
x
f (x) = 1. This means
(a)
1 = c(02 + 4) + (12 + 4) + (22 + 4) + (32 + 4) = c(30)
and so c =
1
.
30
(a)
1 = c(
and so c =
2! 3!
2! 3!
2! 3!
+
+
)

Solution to Assignment 5 and 6, Fall 2014
Probability and Statistics for Engineers.
1. Textbook problems.
4.60.
P (S 2 0.188| 2 = 1.0) = P (2 (39) (39)(0.188) = P (2 (39) 7.332) 0,
which means that it is impossible to observe s2 = 0.188 with n = 40 for
2

MAT2377-Assignment 6
Due date: 8 December 2015, 2pm
Note: This assignment covers material about hypothesis testing and regression analysis (Chapters 6 and 7).
Note: You have to drop off your assignment in the lobby of KED585 building. There will be a box

MAT2377
Ali Karimnezhad
Version November 2, 2015
Ali Karimnezhad
MAT2377 Probability and Statistics for Engineers
Chapter 4
Comments
These slides cover material from Chapter 4.
In class, I may use a blackboard. I recommend reading these slides before
yo

MAT2377
Ali Karimnezhad
Version November 16, 2015
Ali Karimnezhad
MAT2377 Probability and Statistics for Engineers
Chapter 5
Comments
These slides cover material from Chapter 5.
In class, I may use a blackboard. I recommend reading these slides before
y

MAT2377
Ali Karimnezhad
Version November 25, 2015
Ali Karimnezhad
MAT2377 Probability and Statistics for Engineers
Chapter 6
Comments
These slides cover material from Chapter 6.
In class, I may use a blackboard. I recommend reading these slides before
y

MAT2377
Ali Karimnezhad
Version December 2, 2015
Ali Karimnezhad
MAT2377 Probability and Statistics for Engineers
Chapter 7
Comments
These slides cover material from Chapter 7.
In class, I may use a blackboard. I recommend reading these slides before
yo

MAT2377
Ali Karimnezhad
Version September 30, 2015
Ali Karimnezhad
MAT2377 Probability and Statistics for Engineers
Chapter 3
Comments
These slides cover material from Chapter 3.
In class, I may use a blackboard. I recommend reading these slides before

MAT 2377 (Fall 2014)
Probability and Statistics for Engineers
Professor :
M. Zarepour
Email : [email protected]
Bureau : 585 King Edward (KED), Room 207D
Telephone : 562-5800 ext. 3503
Web : http:/aix1.uottawa.ca/~zarepour/
Course Schedule:
Monday 10:00

1. Introduction
This is meant as a review guide for the technical content of the course - things like definitions and calculations that we expect you to be able to do. We hope that, if you know
everything on this list and can do all of the problems, the t

Set Theory, Random Experimenets and
Probability
Denition: The sample space S of a random
experiment is the set of all possible outcomes.
Denition: An event E is any subset of the
sample space. We say that E occurs if the
observed outcome x is an element o

Solution to Assignment 2, Fall 2014
Probability and Statistics for Engineers.
3.12
Probability of 2 or more of 4 engines operating when p = 0.6 is
P (X 2) = 1 P (X 1) = 0.8208,
where X Binomuial(4, 0.6) and the probability of 1 or more of 2 engines
operat

MAT 2377, Probability and Statistics for Engineers, Assignment 1
1
MAT 2377, Probability and Statistics for Engineers
Assignment 1
Professor: Termeh Kousha
Deadline: Friday, Jan 29, 2016 3pm (Math department (585 KED) drop boxes)
Late assignments will NOT