Probability : with applications and R

• Main Authors: Wagaman, Amy Shepherd, 1982- (Author), Dobrow, Robert P. (Author)
• Format: Electronic eBook
• Language: English
• Published: Hoboken, NJ : John Wiley & Sons, Inc., 2021.
• Edition: Second edition.
• Subjects: Probabilities > Data processing.; R (Computer program language); elektronické knihy; electronic books
• ISBN: 9781119692416; 1119692415; 9781119692348; 1119692342; 9781119692386; 1119692385; 1523143770; 9781523143771; 1119692431; 9781119692430
• Physical Description: 1 online resource

"This book is ideal for courses on Probability typically taught in Mathematics and/or Statistics departments but could also be used in Engineering or Data Science departments. This book could also serve as a supplemental or review text for courses on Stochastic Processes or Markov Chains or Bro...

Table of Contents:

• 93 3.1 Random Variables 93 3.2 Independent Random Variables 97 3.3 Bernoulli Sequences 99 3.4 Binomial Distribution 101 3.5 Poisson Distribution 108 3.5.1 Poisson Approximation of Binomial Distribution 113 3.5.2 Poisson as Limit of Binomial Probabilitie; 115 3.6 Summary 116 Exercises 118 4 Expectation and More with Discrete Random Variables 125 4.1 Expectation 127 4.2 Functions of Random Variables 130 4.3 Joint Distributions 134 4.4 Independent Random Variables 139 4.4.1 Sums of Independent Random Variables 142 4.5 Linearity of Expectation 144 4.6 Variance and Standard Deviation 149 4.7 Covariance and Correlation 158 4.8 Conditional Distribution 165 4.8.1 Introduction to Conditional Expectation 168 4.9 Properties of Covariance and Correlation 171 4.10 Expectation of a Function of a Random Variable 173 4.11 Summary