Exam P Notes

Topics: Calculator, Calculation, Random variable Pages: 241 (35887 words) Published: October 30, 2014
Deeper Understanding, Faster Calculation
--Exam P Insights & Shortcuts
2nd Edition

by Yufeng Guo
For SOA Exam P/CAS Exam 1 in Fall, 2005
Exam Dates
September 26-28, Canada and U.S.
September 26 - all other countries

This manual was last updated June 5, 2005

This electronic book is intended for individual buyer use for the sole purpose of preparing for Exam P. This book can NOT be resold to others or shared with others. No part of this publication may be reproduced for resale or multiple copy distribution without the express written permission of the author.

© 2005 By Yufeng Guo

Page 1 of 276

Fall 2005: P Insights & Shortcuts

© 2005 Yufeng Guo

Chapter 1 Exam-taking and study strategy .................................................... 3 Top Horse, Middle Horse, Weak Horse.......................................................................... 3 Truths about Exam P....................................................................................................... 4 Why good candidates fail................................................................................................ 7 Recommended study method.......................................................................................... 9 Chapter 2 Doing calculations 100% correct 100% of the time ............... 11 What calculators to use for Exam P.............................................................................. 11 Critical calculator tips ........................................................................................... 16 Comparison of 3 best calculators (summary): .............................................................. 23 Chapter 3 Find E ( X ),Var ( X ), E ( X | Y ),Var ( X | Y ) ........................................... 27 Chapter 4 Set, sample space, probability....................................................... 44 Chapter 5 Multiplication/addition rule, counting problems ................... 53 Chapter 6 Independence ...................................................................................... 61 Chapter 7 Probability laws and sorting out who did what ....................... 65 Chapter 8 Percentile, mean, median, mode, moment ................................ 77 Chapter 9 Bayes’ theorem and posterior probabilities............................... 81 Chapter 10

Bernoulli distribution................................................................... 91 Chapter 11
Binomial distribution ................................................................... 93 Chapter 12
Geometric distribution ............................................................... 103 Chapter 13
Negative binomial......................................................................... 111 Chapter 14
Hypergeometric distribution .....................................................119 Chapter 15
Uniform distribution....................................................................122 Chapter 16
Exponential distribution..............................................................125 Chapter 17
Poisson distribution ......................................................................145 Chapter 18
Gamma distribution......................................................................149 Chapter 19
Beta distribution ............................................................................159 Chapter 20
Weibull distribution ......................................................................170 Chapter 21
Pareto distribution.........................................................................178 Chapter 22
Normal distribution .......................................................................185 Chapter 23
Lognormal distribution ................................................................190 Chapter 24
Chi-square distribution................................................................198 Chapter 25
Bivariate normal...
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