CollegeofEngineering,QatarUniversity
ProbabilityandStatistics,GENG200
Assignment 1: Probability
Firm Due Date 21-3-2010 at 14pm
Please submit your assignment to your TA:
Mme Mini Thomas, E-mail: mthomas@qu.edu.qa, Phone: 4951096
Exercises are from your Te
GENG200
Probability and Statistics for Engineers
Tutorial - 1
Question 1:
Two balls are randomly drawn from a bowl containing 6 white and 5 black balls. What is the
probability that one of the drawn is white and the other black?
Answer:
The 1st drawn ball
CollegeofEngineering,QatarUniversity
ProbabilityandStatistics,GENG200
Tutorial - 2
Question 1:
a) I f
the
sets
X
and
Y
are
non-mutually
exclusive,
show
that:
P ( X Y ) = P ( X ) + P(Y ) P( X Y ) .
b) Given two events X and Y, draw a Venn diagram to demons
CollegeofEngineering,QatarUniversity
ProbabilityandStatistics,GENG200
Tutorial - 3
Question Sections 3-1 Page 69:
1) 3-1
2) 3-2
3) 3-3
4) 3-11
5) 3-12
6) 3-13
SOLUTION:
3-1.
3-2.
3-3.
3-11.
3-12.
3-13.
The range of X is cfw_0,1,2,.,1000
,
The range of X i
CollegeofEngineering,QatarUniversity
ProbabilityandStatistics,GENG200
Tutorial - 6
2B
Question Sections 6-1 Page 203:
1) 6.1
2) 6-5
SOLUTION:
6-1. Sample average:
n
x=
x
i =1
i
n
=
592.035
= 74.0044 mm
8
Sample variance:
8
x
i =1
= 592.035
i
8
x
i =1
2
i
CollegeofEngineering,QatarUniversity
ProbabilityandStatistics,GENG200
Tutorial - 7
2B
Question Sections 7-3 Page 242:
1) 7.14
SOLUTION:
7-14
2n
Xi
X 1 = E i =1
2n
E(
)
E (X 2 )
n
Xi
= E i =1
n
2n
= 1 E X = 1 (2n ) =
2n i 2n
i =1
n
= 1 E X = 1 (n
CollegeofEngineering,QatarUniversity
ProbabilityandStatistics,GENG200
Tutorial - 8
2B
Question Sections 8-2 Page 267:
1) 8.3
Answer:
8-3
a) A z = 1.29 would give result in a 90% one-sided confidence interval.
b) A z = 1.65 would give result in a 95% one-s
CollegeofEngineering,QatarUniversity
ProbabilityandStatistics,GENG200
Tutorial - 9
2B
Question Sections 9-1 Page 303:
1) 9-3
2) 9-4
3) 9-5
Answer:
9-3
a) H 0 : = 20nm, H 1 : < 20nm
b) This result does not provide strong evidence that the standard deviatio
Qatar University
College of Engineering
GENG 200 Probability and Statistics for Engineers
Exercise#1
Giving a random variable X with the following cumulative distribution function
(CDF):
1-Determine the probability mass function of X
We can check that
2-D
GENG200
Probability and Statistics for Engineers
Tutorial - 1
Question 1:
Two balls are randomly drawn from a bowl containing 6 white and 5 black balls. What is the
probability that one of the drawn is white and the other black?
Question 2:
A class in pro
Instructor:Dr.RidhaHamila
Name:
QatarUniversity,CollegeofEngineering
Probabilityandstatistics,GENG200
Quiz7(Time:15minutes)
3rdrdofJune2010
StudentID:
Question 1:
The diameter of holes for a cable harness is known to have a normal distribution with = 0.01
CollegeofEngineering,QatarUniversity
Probability and Statistics, GENG200
Assignment 2
Chap.3: Discrete Random Variable and Probability Distributions
Firm Due Date on the 8/04/2010 at 14 pm
Please submit your assignment to your TA:
Mme Mini Thomas, E-mail:
Course Information
Instructor: Dr. Ridha Hamila, E-mail: hamila@qu.edu.qa
Office Hours: Sunday, Tuesday, and Thursday from 11:00 a.m. to 12:00
GENG200
GENG200
Probability
Probability and Statistics for Engineers
noon, Or by appointment
TA: Mme Mini Thomas
GENG200
Probability and Statistics for Engineers
Spring 2010
1
Course Information
Instructor: Dr. Ridha Hamila, E-mail: hamila@qu.edu.qa
Office Hours: Sunday, Tuesday, and Thursday from 11:00 a.m. to 12:00
noon, Or by appointment
TA: Mme Mini Thomas, E-ma
5-1 Two Discrete Random Variables
In previous chapters, we studied the probability
distributions of a single random variable.
Sometimes it is useful to study more than one random
variable in a random experiment.
Example 1: transmitted signals
X= the nu
6-1 Numerical Summaries
Definition: Sample Mean
6-1 Numerical Summaries
Example 6-1
6-1 Numerical Summaries
Fulcrum
The sample mean as a balance point for a system of weights.
6-1 Numerical Summaries
Population Mean
For a finite population with N measurem
7-1 Introduction
The field of statistical inference consists of those methods
used to make decisions or to draw conclusions about a
population.
These methods utilize the information contained in a
sample from the population in drawing conclusions.
Stat
Covered Topics
8-1 Introduction
In the previous chapter we illustrated how a parameter can
be estimated from sample data. However, it is important to
understand how good is the estimate obtained.
Bounds that represent an interval of plausible values for
Department of Electrical Engineering
GENG 200: Probability & Statistics for Engineers
Spring 2010: Computer-Based Project Assignment
Firm Due Date: 23/5/2010 at 14pm
1. Go to the Doha Security Market web site at (http:/www2.dsm.com.qa/dsm),
and collect th
Final Exam
Probability and Statistics, GENG200
Spring 2010
SAMPLE SOLUTION
Duration
Start time
Date
th
Sun. 13 June 2010
08:00 am
120 min
INSTRUCTIONS
1. All writings must be on this booklet only.
2. Read and observe the following rules:
a. No candidate s
Matlab Primer
Matlab is the abbreviation for Matrix Laboratory, a matrix processing
language that is applicable to scientific and engineering data processing.
This versatile programming language allows you to easily create your own
special functions and p
Instructor:Dr.RidhaHamila
Name:
QatarUniversity,CollegeofEngineering
Probabilityandstatistics,GENG200
Quiz5(Time:10minutes)
25rdofMay2010
StudentID:
Question:
Consider determining the sampling distribution of the sample mean X Suppose that a random sample
Instructor:Dr.RidhaHamila
Name:
QatarUniversity,CollegeofEngineering
Probabilityandstatistics,GENG200
Quiz6(Time:10minutes)
Question:
For a normal population with known
What is the confidence level for the interval
StudentID:
.
.
2.49 /
Answer:
Theconfide