One of the most important subjects for all engineers and scientists is probability and statistics. This book presents the basics of the essential topics in probability and statistics from a rigorous standpoint. The basics of probability underlying all statistics is presented first and then we cover the essential topics in statistics, confidence intervals, hypothesis testing, and linear regression. This book is suitable for any engineer or scientist who is comfortable with calculus and is meant to be covered in a one-semester format.

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Professor Barron received his B.S. (1970) in Mathematics from the University of Illionois at Chicago and his M.S. (1972) and Ph.D. (1974) from Northwestern University in Mathematics specializing in partial differential equations and differential games. After receiving his Ph.D.,Dr. Barron was an Assistant Professor at Georgia Tech, and then became a Member of Technical Staff at Bell Laboratories. In 1980 he joined the Department of Mathematical Sciences at Loyola University Chicago, where he is a Professor of Mathematics and Statistics. Professor Barron has published over 70 research papers, and he has also authored the book Game Theory: An Introduction, 2nd Edition in 2013. Professor Barron has received continuous research funding from the National Science Foundation and the Air Force Office for Scientific Research. Dr. Barron has taught Probability and Statistics to undergraduates and graduate students since 1974.A native of Cleveland, Ohio, Dr. John G. Del Greco holds a B.S. in Mathematics from John Carroll University, an M.A. in Mathematics from the University of Massachusetts, and a Ph.D. in Industrial Engineering from Purdue University. Before joining Loyolas faculty in 1987, Dr. Del Greco worked as a systems analyst for Micro Data Base Systems, Inc., located in Lafayette, Indiana. His research interests include applied graph theory, operations research,network flows, and parallel algorithms, and his publications have appeared in such journals as Discrete Mathematics, Discrete Applied Mathematics, the Computer Journal, Lecture Notes in Computer Science,and Algorithmica. He has been teaching Probability and Statistics at all levels in the Department of Mathematics and Statistics at Loyola for the past 20 years.