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A classic Schaum's Outline, thoroughly updated to match the latest course scope and sequence. The ideal review for the thousands of college students who enroll in Probability courses. About the Book
An update of this successful outline in probability, modified to conform to the current curriculum. Schaum's Outline of Probability mirrors the course in scope and sequence to help enrolled students understand basic concepts and offer extra practice on topics such as finite and countable sets, binomial coefficients, axioms of probability, conditional probability, expectation of a finite random variable, Poisson distribution, and probability of vectors and Stochastic matrices. Coverage will also include finite Stochastic and tree diagrams, Chebyshev's Inequality and the Law of Large Numbers, calculations of binomial probabilities using the normal approximation, and regular Markov processes & stationary state distributions.
Key Selling Features
Outline format supplies a concise guide to the standard college course in Probability 430 solved problems Easily-understood review of Probability Supports all the major textbooks for Probability courses Clear, concise explanations of all Probability concepts
Appropriate for the following courses: Elementary Probability & Statistics; Data Analysis; Finite Mathematics; Introduction to Mathematical Statistics; Mathematics for Biological Sciences; Introductory Statistics; Discrete Mathematics; Probability for Applied Science; Introduction to Probability Theory
Record of Success: Schaum's Outline of Probability is a solid selling title in the series--with previous edition having sold over 12,500 copies since 2002.
Supports the following bestselling textbooks:
Bluman, Elementary Statistics: A Step by Step Approach, 4ed, 0073347140, $92.22, MGH, 2006. (MIR: 7,265 units)
Hungerford, Mathematics with Applications, 9ed, 0321334337, $129.48, PEG, 2006. (MIR: 2,731 units)
Rosen, Discrete Mathematics and Its Applications, 6ed, 0073229725, $151.76, MGH, 2006. (MIR: 2,866 units) Market / Audience
Primary: For all students of mathematics who need to learn or refresh Probability skills.
Secondary: Graduate students and professionals looking for a tool for review
Enrollment: Elementary Probability and Statistics - 504,600; Data Analysis - 16,820; Finite Mathematics - 106,732; Introductory Statistics - 38,657; Discrete Mathematics - 50,592; Introduction to Probability Theory - 3,196
Author Profiles
Seymour Lipschutz (Philadelphia, PA) who is presently on the mathematics faculty of Temple University, formerly taught at the Polytechnic Institute of Brooklyn and was visiting professor in the Computer Science Department of Brooklyn College. He received his Ph.D. in 1960 at the Courant Institute of mathematical Sciences of New York University. Some of his other books in the Schaum's Outline Series are Beginning Linear Algebra; Discrete Mathematics, 3ed; and Linear Algebra, 4ed.
Marc Lipson (Charlottesville, VA) is on the faculty of the University of Virginia. He formerly taught at the University of Georgia, Northeastern University, and Boston University. He received his Ph..D. in finance in 1994 from the University of Michigan. He is also coauthor of the Schaum;s Outline of Discrete Mathematics, 3ed with Seymour Lipschutz.
Author(s): Seymour Lipschutz; Marc Lipson
Series: Schaum's Outlines
Edition: 2
Publisher: McGraw-Hill Companies
Year: 2011
Language: English
Pages: 336
Contents
Chapter 1 Set Theory
1.1 Introduction
1.2 Sets and Elements, Subsets
1.3 Venn Diagrams
1.4 Set Operations
1.5 Finite and Countable Sets
1.6 Counting Elements in Finite Sets, Inclusion-Exclusion Principle
1.7 Products Sets
1.8 Classes of Sets, Power Sets, Partitions
1.9 Mathematical Induction
Chapter 2 Techniques of Counting
2.1 Introduction
2.2 Basic Counting Principles
2.3 Factorial Notation
2.4 Binomial Coefficients
2.5 Permutations
2.6 Combinations
2.7 Tree Diagrams
Chapter 3 Introduction to Probability
3.1 Introduction
3.2 Sample Space and Events
3.3 Axioms of Probability
3.4 Finite Probability Spaces
3.5 Infinite Sample Spaces
3.6 Classical Birthday Problem
Chapter 4 Conditional Probability and Independence
4.1 Introduction
4.2 Conditional Probability
4.3 Finite Stochastic and Tree Diagrams
4.4 Partitions, Total Probability, and Bayes’ Formula
4.5 Independent Events
4.6 Independent Repeated Trials
Chapter 5 Random Variables
5.1 Introduction
5.2 Random Variables
5.3 Probability Distribution of a Finite Random Variable
5.4 Expectation of a Finite Random Variable
5.5 Variance and Standard Deviation
5.6 Joint Distribution of Random Variables
5.7 Independent Random Variables
5.8 Functions of a Random Variable
5.9 Discrete Random Variables in General
5.10 Continuous Random Variables
5.11 Cumulative Distribution Function
5.12 Chebyshev’s Inequality and the Law of Large Numbers
Chapter 6 Binomial and Normal Distributions
6.1 Introduction
6.2 Bernoulli Trials, Binomial Distribution
6.3 Normal Distribution
6.4 Evaluating Normal Probabilities
6.5 Normal Approximation of the Binomial Distribution
6.6 Calculations of Binomial Probabilities Using the Normal Approximation
6.7 Poisson Distribution
6.8 Miscellaneous Discrete Random Variables
6.9 Miscellaneous Continuous Random Variables
Chapter 7 Markov Processes
7.1 Introduction
7.2 Vectors and Matrices
7.3 Probability Vectors and Stochastic Matrices
7.4 Transition Matrix of a Markov Process
7.5 State Distributions
7.6 Regular Markov Processes and Stationary State Distributions
Appendix A: Descriptive Statistics
A.1 Introduction
A.2 Frequency Tables, Histograms
A.3 Measures of Central Tendency; Mean and Median
A.4 Measures of Dispersion: Variance and Standard Deviation
A.5 Bivariate Data, Scatterplots, Correlation Coefficients
A.6 Methods of Least Squares, Regression Line, Curve Fitting
Appendix B: Chi-Square Distribution
B.1 Introduction
B.2 Goodness of Fit, Null Hypothesis, Critical Values
B.3 Goodness of Fit for Uniform and Prior Distributions
B.4 Goodness of Fit for Binomial Distribution
B.5 Goodness of Fit for Normal Distribution
B.6 Chi-Square Test for Independence
B.7 Chi-Square Test for Homogeneity
Index
A
B
C
D
E
F
G
H
I
J
L
M
N
O
P
Q
R
S
T
U
V
W
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