Review Manual


 

SOA  Exam P

 

Probability

 

 

Prepare for the first actuarial exam with this probability review manual!
 

 


Prepare for the first actuarial test with this probability study manual from Digital Actuarial Resources! This book covers in great detail all the probability material featured on the first exam from the SOA/CAS. Topics covered include set theory, counting tools, various discrete and continuous probability distributions, measures of a distribution, and multivariate distributions to name a few. The manual gives detailed explanations and many examples to support the material. The book explains probability from the bottom up, so no previous knowledge of probability is required.

 

The book contains seven chapters. The table of contents appears here:

CHAPTER 1: INTRODUCTION TO PROBABILITY
SECTION 1-1: THE STUDY OF UNCERTAINTY
SECTION 1-2: SET THEORY
SECTION 1-3: VENN DIAGRAMS
SECTION 1-4: INDEPENDENT EVENTS
SECTION 1-5: CONDITIONAL PROBABILITY
SECTION 1-6: LAW OF TOTAL PROBABILITY AND BAYES’ THEOREM

CHAPTER 2: COUNTING TOOLS
SECTION 2-1: COUNTING BY MULTIPLICATION
SECTION 2-2: PERMUTATIONS AND COMBINATIONS
SECTION 2-3: MULTINOMIAL COMBINATIONS
SECTION 2-4: DISCRETE UNIFORM DISTRIBUTION

CHAPTER 3: BASICS OF PROBABILITY DISTRIBUTIONS
SECTION 3-1: RANDOM VARIABLES
SECTION 3-2: STRUCTURE OF DISCRETE PROBABILITY DISTRIBUTIONS
SECTION 3-3: STRUCTURE OF CONTINUOUS PROBABILITY DISTRIBUTIONS
SECTION 3-4: DISTRIBUTION FUNCTIONS
SECTION 3-5: THE QUANTILE FUNCTION
SECTION 3-6: BERNOULLI DISTRIBUTION
SECTION 3-7: BINOMIAL DISTRIBUTION
SECTION 3-8: CONTINUOUS UNIFORM DISTRIBUTION

CHAPTER 4: MULTIVARIATE DISTRIBUTIONS
SECTION 4-1: BASICS OF BIVARIATE DISTRIBUTIONS
SECTION 4-2: COMPUTING MARGINAL DISTRIBUTIONS
SECTION 4-3: DISTRIBUTIONS WITH MORE THAN TWO RANDOM VARIABLES
SECTION 4-4: DETERMINING THE DISTRIBUTION FOR Y DEPENDING ON X
SECTION 4-5: DETERMINING THE DISTRIBUTION FOR MANY Y’S DEPENDING ON MANY X’S
SECTION 4-6: CONDITIONAL PROBABILITY DISTRIBUTIONS

CHAPTER 5: ANALYZING DISTRIBUTIONS
SECTION 5-1: EXPECTED VALUE
SECTION 5-2: CONDITIONAL EXPECTED VALUE
SECTION 5-3: MEDIAN
SECTION 5-4: MODE
SECTION 5-5: VARIANCE
SECTION 5-6: MEASURES OF LINEAR RELATIONSHIP—COVARIANCE AND CORRELATION
SECTION 5-7: MOMENT-GENERATING FUNCTIONS

CHAPTER 6: COMMON DISCRETE DISTRIBUTIONS
SECTION 6-1: BERNOULLI AND BINOMIAL DISTRIBUTIONS REVISITED
SECTION 6-2: POISSON DISTRIBUTION
SECTION 6-3: NEGATIVE BINOMIAL AND GEOMETRIC DISTRIBUTIONS
SECTION 6-4: HYPERGEOMETRIC DISTRIBUTION
SECTION 6-5: MULTINOMIAL DISTRIBUTION

CHAPTER 7: COMMON CONTINUOUS DISTRIBUTIONS
SECTION 7-1: CONTINUOUS UNIFORM DISTRIBUTION REVISITED
SECTION 7-2: NORMAL DISTRIBUTION
SECTION 7-3: CORRECTION FOR CONTINUITY
SECTION 7-4: CENTRAL LIMIT THEOREM
SECTION 7-5: BIVARIATE NORMAL DISTRIBUTION
SECTION 7-6: GAMMA DISTRIBUTION
SECTION 7-7: BETA DISTRIBUTION
SECTION 7-8: CONJUGATE PRIORS

APPENDIX A: STANDARD NORMAL DISTRIBUTION

APPENDIX B: COMMON SERIES


ISBN 978-1-4537807-9-4

 


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Full Version:
Title: Comprehensive Probability Review for Actuarial Exams: A Manual for SOA Exam P

          First Edition
Pages: 223
Format: Softcover

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Price: $49.95