This text will be added to the list of suggested textbook references for SOA Exam P/CAS Exam 1 in early July 2010.
Probability and Statistics with Applications: A Problem Solving Text is an introductory textbook designed to make the subject accessible to college freshmen and sophomores concurrent with their study of calculus. It is organized specifically to meet the needs of students who are preparing for the Society of Actuaries and Casualty Actuarial Society qualifying examination P/1.
Sample actuarial exam problems are integrated throughout the text along with an abundance of illustrative examples and 799 exercises.
Additionally, the chapters on mathematical statistics cover all of the learning objectives for the statistics portion of the Casualty Actuarial Society Exam 3L syllabus. Here again, liberal use is made of past exam problems from CAS Exams 3 and 3L.
The book provides the content to serve as the primary text for a standard two-semester advanced undergraduate course in mathematical probability and statistics.
Instructor: Leonard A. Asimow, Ph.D., ASA
Dr. Leonard A. Asimow joined Robert Morris University in the Fall of 2001 as Professor of Mathematics and Actuarial Science, and was the founding Director for the Actuarial Science Program at RMU. He is currently Coordinator for the Pittsburgh Initiative for Actuarial Education. He has been involved in mathematical instruction, research and administration for more than 40 years, having taught at a variety of institutions including UC Berkeley, UCLA and the University of Wyoming. He has been dedicated to actuarial education since 1988.
Dr. Asimow received his bachelor's degree from UCLA and his doctorate in mathematics from the University of Washington. He previously directed the actuarial science program at Maryville University, St. Louis. Dr. Asimow received his designation as an Associate in the Society of Actuaries in 1990. He has been published widely in mathematics and has received numerous teaching awards. He has served on the Education and Research Council of the Society of Actuaries and is a former editor of a national newsletter for actuarial educators.
Author: Mark Maxwell Mark M. Maxwell, Ph.D., ASA, joined the faculty at the University of Texas - Austin in summer 2009 as Clinical Professor of Mathematics, Paul V. Montgomery fellow, and to direct the UT actuarial program. He served as program director of actuarial science and math department head while collaborating with Dr. Asimow at RMU.
Maxwell obtained his undergraduate degree from the College of Idaho and his M.S. and Ph.D. in mathematics from Oregon State University. His teaching methods, publications, professional exam preparation seminars, and this text are designed to help students understand the mathematics and be able to apply their knowledge and techniques.
Table Of Contents:
Chapter 1.........Combinatorial Probability
Chapter 2.........General Rules of Probability
Chapter 3.........Discrete Random Variables
Chapter 4.........Some Discrete Distributions
Chapter 5.........Calculus, Probability, and Continuous Distributions
Chapter 6.........Some Continuous Distributions
Chapter 7.........Multivariate Distributions
Chapter 8.........A Probability Potpourri
Chapter 9.........Sampling Distributions and Estimation
Chapter 10.......Hypothesis Testing
Chapter 11.......Theory of Estimation and Hypothesis Testing
Appendix I.......Statistical Tables
Appendix II.......SOA/CAS Exam Sample Questions in Text
Answers to Text Exercises
Index