Chapter Four
Probability
In probability we have phenomena that produce different outcomes which are not
predictable and cant be controlled.
Random experiment: is a process that leads to one of several possible outcomes.
Sample Space: is the set of all pos
Chapter 1
Defining and collecting data
Statistics: is the science of collecting, organizing, presenting, analyzing, and
interpreting numerical data to make decisions based on such analysis.
Population versus sample:Population: is the group of all items of
Chapter 2
Organizing and graphing data
First Organizing and Graphing Qualitative Data(Categorical Variables)
Qualitative data could be organized through the summary table and the
contingency table, and graphed by both bar graph and pie chart.
ORGANIZING Q
Chapter (8)
Confidence Interval estimation
A point estimate is the statistic (or estimate), computed from sample
information, which is used to estimate the population parameter.
A confidence interval estimate is a range of values constructed from
sample d
Chapter 2
Organizing and graphing data
Visualizing Two Numerical variables
1-The scatter plot
Scatter plots are used for numerical data consisting of
paired observations taken from two numerical variables
One variable is measured on the vertical axis and
Example
A desk lamp produced by The Luminar Company was found to be
defective (D). There are three factories (A, B, C) where such desk lamps
are manufactured. Factory A produce 35% of the production in which
1.5% of its production is defective, factory B
Chapter three
Numerical Descriptive Measures
Measures of central tendency:1-Mean
Is called also the arithmetic mean and is obtained by dividing the sum of all
values by the number of these values.
Population mean ->
Sample mean ->
2-Median
Is the value in
Chapter 13
Simple Linear regression
Simple regression: a regression model is a mathematical equation that
describes the relation between two or more variables. A simple
regression model includes only two variables: one independent and one
dependent.
Linea
Measures of position :1-Quartiles and Interquartile range
Note that:
25th percentile -> 1st quartile Q1
50th percentile -> 2nd quartile Q2 which is the median
75th percentile -> 3rd quartile Q3
Location of 1st quartile
(
)
Location of 2nd quartile
(
)
Loc
Chapter six
the Normal Probability Distribution
Normal probability distribution, when plotted, gives a bell shaped curve such that:
1. The total area under the curve is 1.
2. The curve is symmetric about the mean.
3. The two tails of the curve extend inde
Principles of Statistics (2)
English section
Sheet 4
Sampling Distributions
State if the following statement is true or false. Justifying your answer
:if the statement is false
If the population was normally distributed then the mean of the sample drawn f
Chapters Eleven and Twelve
Hypothesis Testing
Whats a Hypothesis?
It is a Belief about a
Population Parameter
Parameter Is Population
Mean, Proportion,
Variance
Hypothesis Must
Be Stated
Before Analysis
I believe that the mean
score of this class in th
SPC208 Statics of Rigid and Elastic Bodies
Chapter 3 Rigid Bodies: Equivalent Systems of
Forces
Dr. Zakaria Elnaggar
Contents
1. Introduction
2. External and Internal Forces
3. Principle of Transmissibility: Equivalent Forces
4. Scaler, Vector and Mixed T
SPC208 Statics of Rigid and Elastic Bodies
Chapter 2 Statics of Particles
Dr. Zakaria Elnaggar
FORCE VECTORS, VECTOR OPERATIONS &
ADDITION COPLANAR FORCES
Todays Objective:
Students will be able to :
a) Resolve a 2-D vector into
components.
b) Add 2-D vec
SPC208 Statics of Rigid and Elastic Bodies
Course Schedule
Course Schedule
Week #
Topic
From - To
Practice and Assessment
1
Forces in a plane and Space
20/9 25/9
2
Equivalent systems of forces
27/9 2/10
3
Equivalent systems of forces
11/10 16/10
HW#01
4
E
SPC208 Statics of Rigid and Elastic Bodies
Lecture Notes Dr. Zakaria Elnaggar
Chapter 4: Equilibrium of Rigid Bodies
Equilibrium of Rigid Bodies
Conditions of Equilibrium:
For a rigid body to be in equilibrium:
The resultant of all forces acting on it is
SPC208 Statics of Rigid and Elastic Bodies
Lecture Notes Dr. Zakaria Elnaggar
Chapter 3: Rigid Bodies: Equivalent Systems of Forces
Introduction, Internal & External Forces
Rigid Bodies: Bodies in which the relative position of any two points does not cha
SPC208 Statics of Rigid and Elastic Bodies
Lecture Notes Dr. Zakaria Elnaggar
INCORPORATING A TRUSS DESIGN PROJECT INTO STATICS COURSE
INTRODUCTION
When teaching engineering mechanics, instructors are challenged to create realistic, hands on, intuitive de
SPC208 Statics of Rigid and Elastic Bodies
Lecture Notes Dr. Zakaria Elnaggar
Chapter 6: Analysis of Structures (Trusses)
Plan Truss
A framework composed of members joined at their ends to form a rigid structure is called a truss.
Bridges, roof supports,
Statics Truss Problem
2.1
Statics
We are going to start our discussion of Finite Element Analysis (FEA) with
something very familiar. We are going to look at a simple statically determinate truss.
Trusses are characterized by linear elements (beams) which
Translational Bioinformatics
Haiyan Huang
May 12, 2010
Credits of some slides:
Atul Butte, Stanford U
Russ Altman, Stanford U
Background: bioinformatics in the post DNA level
genomic era
gene annotation, functional elements
identification
mRNA level
tr
Final Project Guidelines
Contents: 3-4 pages of single space text, plus an appendix
with gures, data, documented code, and brief
bibliography.
Essential ingredients of your report:
1. A brief introduction that gives the background of your
problem
2. A det
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Statistics 203 Syllabus
1. Course Description
This course introduces statistical regression models with an applied focus.
Students will learn the basic concepts behind basic linear and nonlinear
statistical models, and apply them to the analysis of real d