SOA Exam P - Study Manual - 2nd Edition - Actuarial Study Materials Learning Made Easier

Sep 24, 2026

Uploaded by Dipper

SOA Exam P Study Manual (2nd edition) presents actuarial learning materials designed to make core probability topics easier to master. The contents guide readers through a structured progression of study units, each paired with exercises and solutions, covering sets, combinatorics, conditional probability, Bayes’ theorem, random variables, moments, variance, percentiles, distributions, and related expectation and covariance concepts. The manual also highlights digital access via StudyPlus+ with flashcards, formula support, technical eLearning tools, and sample supplementary textbooks.

LanguageEnglish

CategoryExam

FormatPDF

Pages40

Reading Time1 h 41 min

AccessFree to download

Contents

Introduction

Calculus Notes

Sets

Combinatorics

Conditional Probability

Bayes' Theorem

Random Variables

Conditional Probability for Random Variables

Mean

Variance and other Moments

Percentiles

Mode

Joint Distribution

Uniform Distribution

Marginal Distribution

Joint Moments

Covariance

Conditional Distribution

Conditional Moments

Double Expectation Formulas

Binomial Distribution

Negative Binomial Distribution

Poisson Distribution

|
SOA Exam P
Study Manual | | | --- | --- | |

With StudyPlus+
StudyPlus+ gives you digital access* to:
• Flashcards & Formula Sheet
• Actuarial Exam & Career Strategy Guides
• Technical Skill eLearning Tools
• Samples of Supplemental Textbooks
• And more!
*See inside for keycode access and login instructions | | | 2nd Edition
Abraham Weishaus, Ph.D., F.S.A., CFA, M.A.A.A.
NO RETURN IF OPENED | | |
Actuarial Study Materials Learning Made Easier | | Contents Introduction vii Calculus Notes xi 1 Sets 1 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2 Combinatorics 19 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 3 Conditional Probability 33 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 4 Bayes' Theorem 47 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 5 Random Variables 59 5. 1 Insurance random variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 6 Conditional Probability for Random Variables 73 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 7 Mean 83 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 8 Variance and other Moments 103 8. 1 Bernoulli shortcut . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 9 Percentiles 117 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 P Study Manual—2nd edition iii Copyright ©2017 ASM 10 Mode 125 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 11 Joint Distribution 135 11.1 Independent random variables ............................ 135 11.2 Joint distribution of two random variables ...................... 135 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146 12 Uniform Distribution 153 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 160 13 Marginal Distribution 169 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 14 Joint Moments 177 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178 Solutions . . . . . . . . . . . . . . . . . . . . . . . . .

FAQs

What topics does the SOA Exam P Study Manual cover?

It covers sets, combinatorics, conditional probability, Bayes' theorem, random variables, moments (including mean and variance), percentiles, and a range of probability distributions such as uniform, binomial, negative binomial, and Poisson.

Does the manual include practice and solutions?

Yes. Each major section lists exercises and provides corresponding solutions to support study and self-checking.

What is StudyPlus+ and what access does it provide?

StudyPlus+ provides digital access including flashcards and a formula sheet, actuarial exam and career strategy guides, technical skill eLearning tools, and sample supplemental textbooks, with login instructions provided inside.

Sep 24, 2026

Uploaded by Dipper

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