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Probability: An Introduction (With Cd)
by David A. Santos
Price :
Rs
495.00
Your Price :
Rs
445.50
10
Description: Probability: An Introduction provides the fundamentals, requiring minimal algebraic skills from the student. It begins with an introduction to sets and set operations, progresses to counting techniques, and then presents probability in an axiomatic way, never losing sight of elucidating the subject through concrete examples. The book contains numerous examples and solved exercises taken from various fields, and includes computer explorations using MapleTM
Key features:
• Clarifies concepts with numerous applied examples and exercises
• Includes end-of-chapter computer explorations using Maple to illustrate various topics
• Accompanying CD-ROM contains computer code and project files
• Instructor resources include solutions to exercises and PDF slides
Contents:
Chapter 1: Sets and Functions • Sets • Set Operations • Inclusion-Exclusion • Functions • Arithmetical Functions. • Countable and Uncountable Sets •Computer Activities • Arithmetic • Algebra • Sets and Lists • Number Theory • Programming • Multiple-Choice Test
Chapter 2: Combinatorics • Direct Counting • The Sum Rule • The Product Rule • Rearrangements Without Repetitions • Rearrangements with Repetitions • Selections Without Repetitions • Selections with Repetitions • The Binomial Theorem • Counting Finite Functions • Counting with Arithmetical Functions • Classical Problems. • Computer Activities • Useful Combinatorial Commands • The Combinatorics Library • Multiple-Choice Test • Probability
Chapter 3: Probability • Introduction • Mathematical Models • Brief History • Sample Spaces and Events• Countable Sample Spaces • Uncountable Sample Spaces. • Probability Spaces • Axiom Consequences • Equiprobable Sample Spaces • Geometric Probability • Classical Problems. • Computer Activities • Empirical Probability• Multiple-Choice Test
Chapter 4: Conditional Probability • Independence • Conditional Probability • Conditioning • Bayes’ Rule • Classical Problems • Computer Activities • Multiple-Choice Test
Chapter 5: Discrete Random Variables • Histograms and Distribution Functions • Expectation • Variance • Moment-Generating Functions • Bernoulli Random Variables • Binomial Random Variables • Poisson Random Variable • Geometric Random Variables • Negative Binomial Random Variables • Hypergeometric Random Variables • Classical Problems • Computer Activities • Multiple-Choice Test
Chapter 6: Densities • Absolutely Continuous Random Variables • Uniform Continuous Random Variables • Exponential Random Variables.• Normal Random Variables• Classical Problems • Computer Activities • Multiple-Choice Test • Various Sums • Linear Recurrences • First-Order Equations • Second-Order Equations • Standard Normal Distribution • Credits • Selected Answers • Bibliography • Index ISBN - 9789380108896
Pages : 414
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