Author | Gordon, Hugh. author |
---|---|
Title | Discrete Probability [electronic resource] / by Hugh Gordon |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1997 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1966-8 |
Descript | XII, 267 p. online resource |
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