‫المملكة العربية السعودية‬
‫جامعة اإلمام محمد بن سعود‬
‫اإلسالمية‬
‫كلية العلوم‬
KINGDOOM OF SAUDI ARABIA
Al-Imam Muhammad Ibn Saud Islamic University
Faculty of Sciences
SYLLABUS
STA111 (Introduction to Probability and Statistics)
Instructor
Credits:
3 hours
Prerequisite:
M101
E-Mail:
Office:
Office hours
References: Required Textbook
Probability and Statistics for Engineers & Scientists, Eighth Edition; Walpole, Myers, Ye, Pearson
International edition,2007, ISBN 0-13-204767-5
Exams
Midterm 1 :
Midterm 2 :
Final
:
6-th week
10-th week
16-th week
Grading:
Midterm 1:
Midterm 2:
Quiz & h.w. …. :
Final Exam:
20 %
20 %
20 %
40 %
Course Contents
We
ek
Chapter
Reading
Assignments
Topics
Some Basic Considerations: Probability Experiment, Sample
1&2&3
Space, Event,
Events: Complement, Intersection, Mutually Exclusive, Union
Sect. 2.2
Counting Sample Points: Tree diagram, Multiplication Rule,
Sect. 2.3
Permutation, Combination
Chapter 1:
Probability
Sect. 2.1
Interpretations of Probability: Introduction, Axioms of
Sect. 2.4
Probability
Addition Rules: For the mutually exclusive case, General Case
Sect. 2.5
Conditional Probability, Multiplication
Probability Rules, Independence
Sect. 2.6
and
Total
Bayes’ Theorem
Sect. 2.7
Concept of Random Variable: Random Variable, Discrete
3&4
Sample Space, Continuous Sample Space, Discrete Random Variable,
Continuous Random Space
Chapter 2:
Random
Variables and
Probability
Distribution
Discrete Random Variables and Probability
Distributions: Discrete Random Variables, Probability Distributions
Sect. 3.1
Sect. 3.2
and Probability Mass Functions, Cumulative Distribution Functions
Continuous Random Variables and Probability
Distributions: Continuous Random Variables, Probability
Distributions and Probability Density Functions, Cumulative Distribution
Functions
Sect. 3.3
Joint Probability Distributions: Joint Probability Distributions or
Probability Mass Function of two Discrete Random Variables, Marginal
Probability Distributions, Conditional Probability Distributions,
Independence
Sect. 3.4
8&9
6&7
5&6
Mean of Random Variable: The Mean of Expected Value of the
Chapter 3:
Mathematical
Expectation
Chapter 4: Some
Discrete
Probability
Distributions
Chapter 5: Some
Continuous
Probability
Distributions
Discrete of Continuous Random Variable, The Mean or Expected Value
for the Joint Probability Distribution
Sect. 4.1
Variance and Covaraince of Random Variables: The
Variance of the Discrete Random Variables, The Covariance for the Joint
Probability Distribution (Discrete case), The Coroleation Coefficient.
Means and Variances of Linear combinations of Random
Variables
Bernoulli & Binomial Distribution
Hypergeometric Distribution
Geometric and Negative Binomial Distributions
Poisson Distribution
Continuous Uniform Distribution
Gamma and Exponential Distribution
Normal Distribution
Areas under the Normal Curve
Applications of the Normal Distribution
Normal Approximation to the Binomial
Sect. 4.2
Sect. 4.3
Sect. 5.2
Sect. 5.3
Sect. 5.4
Sect. 5.5
Sect. 6.1
Sect. 6.6
Sect. 6.2
Sect. 6.3
Sect. 6.4
Sect. 6.5
9 & 10
10 & 11
11 & 12 & 13
Chapter 6:
Descriptive
Statistics
Chapter 7:
Fundamental
Sampling
Distributions and
Data
Descriptions
Chapter 8: Point
Estimation and
Test Hypotheses
• Definitions: Statistics, Population, Sample, parameter, Statistic,• Need
of Statistics & Statistical Problem Solving Methodology &
Introduction to Data Collection• Data Organization and Frequency
Distributions: Data Raw, The Data Array, Frequency Distributions•
Graphic Presentations of Frequency Distributions: The Histogram,
The Frequency Polygon, A Cumulative Frequency Graph, Stem-and-Leaf
Display• Computing Measures of Central Tendency: Measuring
Central Tendency for Ungrouped Data: The Arithmetic Mean (population
and sample), The Median, The Mode, Measuring Central Tendency for
Grouped Data: The Arithmetic Mean (population and sample), The
Median, The Mode, Summary of Comparative Characteristics•
Computing Measures of Dispersion and Relative Position: Measuring
Dispersion for Ungrouped Data: The Range, The Mean Absolute
Deviation, The Standard Deviation (population and sample), The Standard
Deviation for Grouped Data (population and sample), The Measures of
Positions: Percentiles, Quartiles, Interquartile, Quartile Deviation
Chapter 1
• Random Sampling
• Some Important Statistics
Sect. 8.1 8.2
• Sampling Distribution
• Sampling Distribution of Means and the Central Limit
Theorem
Sect. 8.3 8.4
• Sampling Distribution of S2
• t-Distribution
• F-Distribution
Sect. 8.5 8.8
• Introduction
• General Concepts of Point Estimation: Unbiased
Sect. 9.1 9.7
Estimators, Variance of a Point Estimator, Standard Error, Mean
Square Error of an Estimator
• Methods of Point Estimation: Method of Moments, Method
of Maximum Likelihood*
• Statistical Hypotheses: General Concepts
• Testing a Statistical Hypothesis
15
14
• Single Sample: Tests Concerning a Single Mean
Chapter 10:
Simple Linear
Regression and
Correlation
Sect. 9.8 9.9
Sect. 10.1 10.2
Sect. 10.5 10.7
• One Sample: Test on a Single Proportion
Sect. 10.11
• Introduction to Linear Regression
• The Simple Linear Regression Model
• Least Squares and the Fitted Model
Sect. 11.1 11.3
REVIEW