# Exam P Notes

**Topics:**Calculator, Calculation, Random variable

**Pages:**241 (35887 words)

**Published:**October 30, 2014

--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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