Probability Theory for Industrial Engineers

PROBABILITY DISTRIBUTIONS:
The book Probability Theory for Industrial Engineers includes detailed analyses of the Uniform Probability Distribution, the Binomial Probability Distribution, the Poisson Probability Distribution, and the Normal Probability Distribution,.
STATISTICS:
The book contains 791 pages, 235 illustrations, 82 solved problems, and 43 proofs of important formulas, including the probability density functions of the probability distributions mentioned above.
LAYOUT:
The various topics are arranged so that each topic builds on the preceding topics. The reason for this is that it is imperative to understand the connection and relationship between different concepts. Arranging the topics in this order facilitates learning and application of the material.
PROOFS OF FORMULAS:
Since understanding the origin of a formula is conducive to understanding its function and application, no effort has been spared to include the proofs of all important formulas used in the book.
EXPLANATIONS:
All concepts are explained step-by-step, and in a logical sequence, to facilitate absorbing the material. No effort has been spared to ensure that there is continuity in the explanations, since one missing link may be sufficient to prevent the understanding of a given topic. The book is designed to be an all-inclusive reference book with respect to the probability distributions mentioned above.
EXAMPLES:
Over 80 different problems with detailed solutions are included in the book in order to fully explain various concepts. Detailed solutions help establish the thinking patterns required to solve probability problems. The solved problems included in the book are focused on improving and fine-tuning this ability.
ILLUSTRATIONS:
Illustrations are important to explain certain concepts and functions. For this reason, the book contains a substantial number of graphical representations. Great care has been taken in designing the illustrations to maximize their functionality.
DEFINITIONS:
The notations associated with various concepts are not always the same in different textbooks, and are not always defined. This book includes the definitions for every notation and variable used in the book in order to eliminate the risk for misunderstandings and confusion, since undefined notations and variables may cause gaps in processing and understanding the information.
A UNIQUE TOOL:
A topic almost never addressed in statistical analysis and probability theory textbooks, and, therefore, generally not known, understood, and deployed, is that of calculating valid sample sizes. Since this is an indispensable tool in connection with sampling a complete discussion of this topic is included, along with the derivations of the formulas for calculating valid sample sizes. Using these formulas saves a significant amount of resources in terms of obtaining and processing sample information by preventing over-sampling, which is very common.

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