Solution Manual for Introduction to Probability 1st Edition Ward Gundlach 0716771098 9780716771098

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Unlike most probability textbooks, which are only truly accessible to mathematically-oriented students, Ward and Gundlach’s Introduction to Probability reaches out to a much wider introductory-level audience. Its conversational style, highly visual approach, practical examples, and step-by-step problem solving procedures help all kinds of students understand the basics of probability theory and its broad applications. The book was extensively class-tested through its preliminary edition, to make it even more effective at building confidence in students who have viable problem-solving potential but are not fully comfortable in the culture of mathematics.

Language: English
ISBN-10: 0716771098
ISBN-13: 978-0716771098
ISBN-13: 9780716771098

Author: Mark Daniel Ward, Ellen Gundlach

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Table of Content:

I: Randomness
1 Outcomes, Events, and Sample Spaces
2 Probability
3 Independent Events
4 Conditional Probability
5 Bayes’ Theorem
6 Review of Randomness

II: Discrete Random Variables
7 Discrete Versus Continuous Random Variables
8 Probability Mass Functions and CDFs
9 Independence and Conditioning
10 Expected Values of Discrete Random Variables
11 Expected Values of Sums of Random Variables
12 Variance of Discrete Random Variables
13 Review of Discrete Random Variables

III: Named Discrete Random Variables
14 Bernoulli Random Variables
15 Binomial Random Variables
16 Geometric Random Variables
17 Negative Binomial Random Variables
18 Poisson Random Variables
19 Hypergeometric Random Variables
20 Discrete Uniform Random Variables
21 Review of Named Discrete Random Variables

IV: Counting
22 Introduction to Counting
23 Two Case Studies in Counting

V: Continuous Random Variables
24 Continuous Random Variables and PDFs
25 Joint Densities
26 Independent Continuous Random Variables
27 Conditional Distributions
28 Expected Values of Continuous Random Variables
29 Variance of Continuous Random Variables
30 Review of Continuous Random Variables

VI: Named Continuous Random Variables
31 Continuous Uniform Random Variables
32 Exponential Random Variables
33 Gamma Random Variables
34 Beta Random Variables
35 Normal Random Variables
36 Sums of Independent Normal Random Variables
37 Central Limit Theorem
38 Review of Named Continuous Random Variables

VII: Additional Topics
39 Variance of Sums; Covariance; Correlation
40 Conditional Expectation
41 Markov and Chebyshev Inequalities
42 Order Statistics
43 Moment Generating Functions
44 Transformations of One or Two Random Variables
45 Review Questions for All Chapters

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