AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 2
Probability
Complementary reading (Chapter 2 WMS)
AbouEl-Makarim Aboueissa, Ph. D.
Experiment
Experiment is any process or pr
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 282
Statistical Inference
Properties of Point Estimators and Methods of Estimation (part 1)
Complementary reading (Chapter 9 WMS)
AbouEl-Makarim Aboueissa, Ph. D.
Introdu
MAT 282
Statistical Inference
Homework Assignment 4
(1) A random sample of size 81 will be taken from a population with mean
= 128 and standard deviation = 6.3 . What is the approximate
probability that the sample mean will fall between 126.6 and 129.4?
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 282
Statistical Inference
On Sampling Distributions and Central Limit Theorem (part 1)
Complementary reading (Chapter 7 WMS)
AbouEl-Makarim Aboueissa, Ph. D.
In statistic
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 282
Statistical Inference
Properties of Point Estimators and Methods of Estimation (part 2)
Complementary reading (Chapter 9 WMS)
AbouEl-Makarim Aboueissa, Ph. D.
Method
MAT 282
Statistical Inference
Homework Assignment 1
(1) If the joint density of Y 1 and Y 2
is given by:
f ( y 1, y 2 ) = e ( y 1 + y 2 )
for
y 1 > 0, y 2 > 0
and
U =
Y 1 +Y 2
2
find the density function of U using the method of Cumulative Distribution
Fu
MAT 282
Statistical Inference
Homework Assignment 3
(1) Suppose that X1, X 2 ,., X n
Y1, Y2 ,., Yn
are independent random
2
2
samples from populations with means 1 and 2 and variances 1 and 2 ,
respectively. Show that the random variable
Un
and
X Y ) ( 1
MAT 282
Statistical Inference
Spring 2017
Name:_
Exam 1
For full credit, show all of your work and use appropriate notation. Do not
simply write the final numerical answer. No credit for correct final answer
without a valid argument. Show your work graphi
MAT 282
Statistical Inference
Homework Assignment 3 - Solution
(1) Suppose that X 1, X 2 ,., X n
Y1, Y2 ,., Yn
are independent random
2
2
samples from populations with means 1 and 2 and variances 1 and 2 ,
respectively. Show that the random variable
Un
an
MAT 282
Statistical Inference
Homework Assignment 1 - Solution
(1) If the joint density of Y 1 and Y 2
is given by:
f ( y 1, y 2 ) = e ( y 1 + y 2 )
for
y 1 > 0, y 2 > 0
and
U =
Y 1 +Y 2
2
find the density function of U using the method of Cumulative Dist
MAT 282
Statistical Inference
Homework Assignment 2 - Solution
(1) Let Y 1,Y 2 ,.,Y n be independent uniformly distributed random variables on
the interval [0, ] . Find the
(a) Cumulative Distribution Function (CDF ) of Y ( n ) = max(Y 1 ,Y 2 ,.,Y n ).
(b
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 282
Statistical Inference
On Estimation (part1)
Complementary reading (Chapter 8 WMS)
AbouEl-Makarim Aboueissa, Ph. D.
Introduction
In MAT 281 we have dealt with probabil
SYLLABUS
MATH-0980: INTERMEDIATE ALGEBRA
INSTRUCTION:
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TEXTBOOK:
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Intermediate Algebra 8th Ed, Bittinger/Ellenbogen
ATTENDANCE:
Attendance is defined as your presence in the classroom from
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LEGEND
ENG = Department
21011 = Course Number
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Composition
ENG 11011 College Writing I (3)
The study and practice of academic writing, including an introduction to rhetor
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 6
Finding the Probability Distribution of Functions of Random Variables
AbouEl-Makarim Aboueissa, Ph. D.
In some problems we kn
University of Southern Maine
College of Science, Technology, and Health
Department of Mathematics and Statistics
Spring 2016
MAT 282: Statistical Inference
Tuesday, January 19 - - Friday, May 13
Policy Statement and Course Information
Instructor Informati
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 4 (Part 1)
Continuous Random Variables and Their Probability
Distributions
Complementary reading (Chapter 4 WMS)
AbouEl-Makarim
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 3 (part 1)
Discrete Random Variables and Their Probability
Distributions
Complementary reading (Chapter 3 WMS)
AbouEl-Makarim A
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 4 (Part 4)
Continuous Random Variables and Their Probability
Distributions
Complementary reading (Chapter 4 WMS)
AbouEl-Makarim
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 4 (Part 6)
Continuous Random Variables and Their Probability
Distributions
Complementary reading (Chapter 4 WMS)
AbouEl-Makarim
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 4 (Part 5)
Continuous Random Variables and Their Probability
Distributions
Complementary reading (Chapter 4 WMS)
AbouEl-Makarim
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 5 (Part 1)
Multivariate Probability Distributions
Discrete Case
AbouEl-Makarim Aboueissa, Ph. D.
In many settings, we are inter
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 4 (Part 3)
Continuous Random Variables and Their Probability
Distributions
Complementary reading (Chapter 4 WMS)
AbouEl-Makarim
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 281
Introduction to Probability
On Chapter 5 (Part 2)
Multivariate Probability Distributions
Continuous Case
AbouEl-Makarim Aboueissa, Ph. D.
In many settings, we are int
AbouEl-Makarim A. Aboueissa, Ph.D.
Department of Mathematics and Statistics, USM
MAT 282
Statistical Inference
On Estimation (part1)
Complementary reading (Chapter 8 WMS)
AbouEl-Makarim Aboueissa, Ph. D.
Introduction
In MAT 281 we have dealt with probabil