Discrete Probability
DISCRETE PROBABILITY is a textbook, at a post-calculus level, for a first course in probability. Since continuous probability is not treated, discrete probability can be covered in greater depth. The result is a book of special interest to students majoring in computer science as well as those major...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1997, 1997
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| Edition: | 1st ed. 1997 |
| Series: | Undergraduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction
- 2 Counting
- 2.1 order counts, with replacement
- 2.2 order counts, without replacement
- 2.3 order does not count, without replacement
- 2.4 order does not count, with replacement
- 3 Independence and Conditional Probability
- 3.1 Independence
- 3.2 Bernoulli Trials
- 3.3 The Most Likely Number of Successes
- 3.4 Conditional Probability
- 4 Random Variables
- 4.1 Expected Value and Variance
- 4.2 Computation of Expected Value and Variance
- 5 More About Random Variables
- 5.1 The Law of Large Numbers
- 5.2 Conditional Probability
- 5.3 Computation of Variance
- 6 Approximating Probabilities
- 6.1 The Poisson Distribution
- 6.2 Stirling's Formula
- 6.3 The Normal Distribution
- 7 Generating Functions
- 8 Random Walks
- 8.1 The Probability Peter Wins
- 8.2 The Duration of Play
- 9 Markov Chains
- 9.1 What Is a Markov Chain?
- 9.2 Where Do We Get and How Often?
- 9.3 How Long Does It Take?
- 9.4 What Happens in the Long Run?
- Table of Important Distributions
- Answers