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Thousands of questions!  \nAccess your exclusive StudyPlus+ bonus content:  \nGOAL | Flashcards | Formula sheet  \n* Key Code Inside *  \nExam P Study Manual  \n3rd Edition, 2nd Printing  \nAbraham Weishaus, Ph.D., F.S.A., C.F.A., M.A.A.A.  \nActuarial Study Materials Learning Made Easier  \nNO RETURN IF OPENED  \nTO OUR READERS:  \nPlease check A.S.M.’s web site at [www.studymanuals.com](www.studymanuals.com) for errata  \nand updates. If you have any comments or reports of errata, please e-mail [us at](us at mail@studymanuals.com)[ ](us at mail@studymanuals.com)[mail@studymanuals.com](us at mail@studymanuals.com).  \nISBN: 978-1-63588-761-7  \n©Copyright 2020 by Actuarial Study Materials (A.S. M.), PO Box 69, Greenland, NH 03840. All rights reserved. Reproduction in whole or in part without express written permission from the publisher is strictly prohibited.  \nContents  \nIntroduction vii  \nCalculus Notes xi  \n1 Sets 1  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11  \n2 Combinatorics 19  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26  \n3 Conditional Probability 31  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37  \n4 Bayes' Theorem 45  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52  \n5 Random Variables 57  \n5. 1 Insurance random variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65  \n6 Conditional Probability for Random Variables 71  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75  \n7 Mean 79  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88  \n8 Variance and other Moments 95  \n8. 1 Bernoulli shortcut . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102  \n9 Percentiles 109  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112  \n10 Mode 117  \nExercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117  \nSolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120  \n11 Joint Distribution 125  \n11.1 Independent random variables ...................................","cbCaiao05IoHkFup","https://ap.wps.com/l/cbCaiao05IoHkFup","pdf",947931,29,"English","# Introduction\n# Calculus Notes\n# Sets\n## Exercises\n## Solutions\n# Combinatorics\n## Exercises\n## Solutions\n# Conditional Probability\n## Exercises\n## Solutions\n# Bayes' Theorem\n## Exercises\n## Solutions\n# Random Variables\n## Insurance random variables - Exercises\n## Solutions\n# Conditional Probability for Random Variables\n## Exercises\n## Solutions\n# Mean\n## Exercises\n## Solutions\n# Variance and other Moments\n## Bernoulli shortcut - Exercises\n## Solutions\n# Percentiles\n## Exercises\n## Solutions\n# Mode\n## Exercises\n## Solutions\n# Joint Distribution\n## Independent random variables\n## Joint distribution of two random variables","[{\"question\":\"What learning tools are included with GOAL and StudyPlus+?\",\"answer\":\"The manual includes GOAL, a customizable online exam question bank, plus StudyPlus+ bonus content featuring flashcards and a formula sheet.\"},{\"question\":\"How is the book organized across topics?\",\"answer\":\"Topics are presented in numbered chapters with sections for Exercises and Solutions.\"},{\"question\":\"Where can readers check errata and updates?\",\"answer\":\"Readers are instructed to check A.S.M.’s web site at www.studymanuals.com for errata and updates, and to email comments or errata reports.\"}]","Exam P Study Manual - 3rd Edition - Actuarial Study Materials | PDF",1790489078,73]