GENG 200
Probability and Statistics
Lecture Note #2
Electrical Engineering Department
Qatar University
Chapter 2:
Probability
2
Chapter Outline
1.
Sample space and events
i.
ii.
iii.
iv.
2.
3.
4.
5.
6.
7.
8.
3
Random Experiments
Sample Spaces
Events
Count
Qatar University, College of Engineering
GENG 200
Assignment # 1 Solution
Due date: Oct. 12,2015
(1) (10 Marks) A car orders are summarized by the optional features that are requested as
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GENG 200
Probability and Statistics
Lecture Notes #4
Electrical Engineering Department
Qatar University
1
Chapter 2:
Probability
2
Chapter Outline
1.
Sample space and events
i.
ii.
iii.
iv.
2.
3.
4.
5.
6.
7.
8.
3
Random Experiments
Sample Spaces
Events
Co
GENG 200
Probability and Statistics
Review and Tutorial Exercises
Chapter 2
1
Brief Review
Sample Space
Event
Probability axioms
Addition Rule
Condition Probability
Multiplication Rule
Brief Review
Total Probability Rule
Bayes Theorem
Independenc
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rsity
De
epartment of Mathem
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Part II
Question
1
2
12
3
Part I=
Possible
14
7
4
7
5
7
6
6
7
12
8
10
Bonus
4
Total
T
75
Score
Total =
Part II
Question 1. (14 Points
Qatar University, College of Engineering
GENG 200
Software Assignment # 2
Due date: May. 11, 2016
(1) Using the Matlab code developed in Software Assignment #1:
a. Convert the code that generates the random number (H,T) with equal probabilit
GENG 200
Probability and Statistics
Lecture Note #6
Chapter 2:
Probability
1
Chapter Outline
1.
Sample space and events
i.
ii.
iii.
iv.
2.
3.
4.
5.
6.
7.
8.
2
Random Experiments
Sample Spaces
Events
Counting Techniques
Interpretations of probability
Addit
GENG 200
Probability and Statistics
Lecture Note #5
Chapter 2: Probability
Electrical Engineering Department
Qatar University
1
Chapter Outline
1.
Sample space and events
i.
ii.
iii.
iv.
2.
3.
4.
5.
6.
7.
8.
2
Random Experiments
Sample Spaces
Events
Count
Qatar University, College of Engineering
GENG 200
Assignment # 1
Due date:
(1) (30 Marks) Wires from a manufacturer are analyzed for conductivity and strength. The
results from 110 wires are as follows:
_ Strength _
High (HS)
Low (LS) High
Conductivity (H
GENG 200
Probability and Statistics
Lecture Note #4
Electrical Engineering Department
Qatar University
1
Chapter 2:
Probability
2
Chapter Outline
1.
Sample space and events
i.
ii.
iii.
iv.
2.
3.
4.
5.
6.
7.
8.
3
Random Experiments
Sample Spaces
Events
Cou
GENG 200
Probability and Statistics
Lecture Note #3
Electrical Engineering Department
Qatar University
Chapter 2:
Probability
2
Chapter Outline
1. Sample space and events
i.
ii.
iii.
iv.
2.
3.
4.
5.
6.
7.
8.
Random Experiments
Sample Spaces
Events
Countin
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
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
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.
Statisti
Chapter 4:
Continuous Random Variables and
Probability Distributions
1
4-1 Continuous Random Variables
Continuous random variables- variables that can assume any
value in some range and infinite values within that range
Examples:
Measurement of current i
Chapter 3:
Discrete Random Variables and
Probability Distributions
3 Definitions
3-1 Probability Distributions, Discrete Random Variable
3-2 Probability Density Functions (PDF)
3-3 Cumulative Distribution Functions
3-4 Mean Value, Standard Deviation: Vari
Qatar University, College of Engineering
GENG 200
Software Assignment # 1 (3 Marks)
Due date: April. 18, 2016
Tasks:
Task 1 (T1):
Write a MATLAB code that will generate a random experience, which can take only two
possible equally likely out