UW CAE Learning Project

Course P Problems

All Site Content

These learning modules are based on the official sample problems and solutions, provided by the Society of Actuaries and Casualty Actuarial Society (that we took January 1, 2011 and used with permission). The problem set can be found here: Exam P Problem Set

Here are the solutions: Exam P Solutions

Note: The problem set may not reflect the current syllabus for the exam.

Start with:

Column “Video”- this is a short video clip (screencast) where we provide a step-by-step solution to the question
Column “Problem” – this is the official sample question, in .pdf format
Column “Solution” – this is the official sample solution, in .pdf format
Column “Solutions_Written”- this is our more detailed sample solution, in .pdf format

You may also click on the Headers “Learning Objective” and “Secondary Learning Objective” to sort the problems.
If you would like a little bit more background on technical details (e.g., your calculus is rusty). There are many good sources on the internet. One great source that uses techniques and methods comparable to our site is Khan Academy.

Video	Problem	Solution	Written Solutions	Learning Objective	Secondary Learning Objective
Video 001 Flash version	Question 001	Solution 001	Solution001-written	General Probability	Addition and Multiplication Rules
Video 002 Flash version	Question 002	Solution 002	Solution002-written	General Probability	Addition and Multiplication Rules
Video 003 Flash version	Question 003	Solution 003	Solution003-written	General Probability	Addition and Multiplication Rules
Video 004 Flash version	Question 004	Solution 004	Solution004-written	General Probability	Addition and Multiplication Rules
Video 005 Flash version	Question 005	Solution 005	Solution005-written	General Probability	Addition and Multiplication Rules
Video 006 Flash version	Question 006	Solution 006	Solution006-written	General Probability	Conditional Probability
Video 007 Flash version	Question 007	Solution 007	Solution007-written	General Probability	Addition and Multiplication Rules
Video 008 Flash version	Question 008	Solution 008	Solution008-written	General Probability	Addition and Multiplication Rules
Video 009 Flash version	Question 009	Solution 009	Solution009-written	General Probability	Addition and Multiplication Rules
Video 010 Flash version	Question 010	Solution 010	Solution010-written	General Probability	Addition and Multiplication Rules
Video 011 Flash version	Question 011	Solution 011	Solution011-written	General Probability	Independence of Events
Video 012 Flash version	Question 012	Solution 012	Solution012-written	General Probability	Set Functions
Video 013 Flash version	Question 013	Solution 013	Solution013-written	General Probability	Conditional Probability
Video 014 Flash version	Question 014	Solution 014	Solution014-written	General Probability	Law of Total Probability
Video 015 Flash version	Question 015	Solution 015	Solution015-written	General Probability	Law of Total Probability
Video 016 Flash version	Question 016	Solution 016	Solution016-written	General Probability	Combinatorial Probability
Video 017 Flash version	Question 017	Solution 017	Solution017-written	General Probability	Independence of Events
Video 018 Flash version	Question 018	Solution 018	Solution018-written	Multivariate Probability Distributions	Probabilities and Moments for Linear Combinations
Video 019 Flash version	Question 019	Solution 019	N/A	General Probability	Bayes Theorem / Law of Total Probability
Video 020 Flash version	Question 020	Solution 020	Solution020-written	General Probability	Bayes Theorem / Law of Total Probability
Video 021 Flash version	Question 021	Solution 021	Solution021-written	General Probability	Bayes Theorem / Law of Total Probability
Video 022 Flash version	Question 022	Solution 022	Solution022-written	General Probability	Bayes Theorem / Law of Total Probability
Video 023 Flash version	Question 023	Solution 023	Solution023-written	General Probability	Bayes Theorem / Law of Total Probability
Video 024 Flash version	Question 024	Solution 024	Solution024-written	General Probability	Conditional Probability
Video 025 Flash version	Question 025	Solution 025	Solution025-written	General Probability	Bayes Theorem / Law of Total Probability
Video 026 Flash version	Question 026	Solution 026	Solution026-written	General Probability	Bayes Theorem / Law of Total Probability
Video 027 Flash version	Question 027	Solution 027	Solution027-written	General Probability	Bayes Theorem / Law of Total Probability
Video 028 Flash version	Question 028	Solution 028	Solution028-written	General Probability	Bayes Theorem / Law of Total Probability
Video 029 Flash version	Question 029	Solution 029	Solution029-written	Univariate Probability Distributions	Cumulative Distribution Functions
Video 030 Flash version	Question 030	Solution 030	Solution030-written	Univariate Probability Distributions	Probability Functions
Video 031 Flash version	Question 031	Solution 031	Solution031-written	Univariate Probability Distributions	Probability Functions
Video 032 Flash version	Question 032	Solution 032	N/A	Univariate Probability Distributions	Probability Functions
Video 033 Flash version	Question 033	Solution 033	Solution033-written	Univariate Probability Distributions	Probability Density Functions
Video 034 Flash version	Question 034	Solution 034	Solution034-written	Univariate Probability Distributions	Probability Density Functions
Video 035 Flash version	Question 035	Solution 035	Solution035-written	Univariate Probability Distributions	Probability Density Functions
Video 036 Flash version	Question 036	Solution 036	N/A	Univariate Probability Distributions	Probability Density Functions
Video 037 Flash version	Question 037	Solution 037	Solution037-written	Univariate Probability Distributions	Cumulative Distribution Functions
Video 038 Flash version	Question 038	Solution 038	N/A	Univariate Probability Distributions	Cumulative Distribution Functions
Video 039 Flash version	Question 039	Solution 039	N/A	Univariate Probability Distributions	Probability Functions
Video 040 Flash version	Question 040	Solution 040	Solution040-written	Univariate Probability Distributions	Cumulative Distribution Functions
Video 041 Flash version	Question 041	Solution 041	Solution041-written	Univariate Probability Distributions	Probability Functions
Video 042 Flash version	Question 042	Solution 042	Solution042-written	Multivariate Probability Distributions	Probabilities and Moments for Linear Combinations
Video 043 Flash version	Question 043	Solution 043	Solution043-written	Univariate Probability Distributions	Probability Functions
Video 044 Flash version	Question 044	Solution 044	Solution044-written	Univariate Probability Distributions	Moments (Expected Value)
Video 045 Flash version	Question 045	Solution 045	Solution045-written	Univariate Probability Distributions	Moments (Expected Value)
Video 046 Flash version	Question 046	Solution 046	Solution046-written	Univariate Probability Distributions	Moments (Expected Value)
Video 047 Flash version	Question 047	Solution 047	Solution047-written	Univariate Probability Distributions	Moments (Expected Value)
Video 048 Flash version	Question 048	Solution 048	Solution048-written	Univariate Probability Distributions	Moments (Expected Value)
Video 049 Flash version	Question 049	Solution 049	Solution049-written	Univariate Probability Distributions	Moments (Expected Value)
Video 050 Flash version	Question 050	Solution 050	Solution050-written	Univariate Probability Distributions	Moments (Expected Value)
Video 051 Flash version	Question 051	Solution 051	Solution051-written	Univariate Probability Distributions	Moments (Expected Value)
Video 052 Flash version	Question 052	Solution 052	Solution052-written	Univariate Probability Distributions	Moments (Expected Value)
Video 053 Flash version	Question 053	Solution 053	Solution053-written	Univariate Probability Distributions	Moments (Expected Value)
Video 054 Flash version	Question 054	Solution 054	Solution054-written	Univariate Probability Distributions	Moments (Expected Value)
Video 055 Flash version	Question 055	Solution 055	Solution055-written	Univariate Probability Distributions	Moments (Expected Value)
Video 056 Flash version	Question 056	Solution 056	Solution056-written	Univariate Probability Distributions	Moments (Expected Value)
Video 057 Flash version	Question 057	Solution 057	Solution057-written	Univariate Probability Distributions	Moment Generating Functions
Video 058 Flash version	Question 058	Solution 058	Solution058-written	Multivariate Probability Distributions	Joint Moment Generating Functions
Video 059 Flash version	Question 059	Solution 059	Solution059-written	Univariate Probability Distributions	Percentiles
Video 060 Flash version	Question 060	Solution 060	Solution060-written	Univariate Probability Distributions	Variance
Video 061 Flash version	Question 061	Solution 061	Solution061-written	Univariate Probability Distributions	Percentiles
Video 062 Flash version	Question 062	Solution 062	Solution062-written	Univariate Probability Distributions	Variance
Video 063 Flash version	Question 063	Solution 063	N/A	Univariate Probability Distributions	Variance
Video 064 Flash version	Question 064	Solution 064	Solution064-written	Univariate Probability Distributions	Variance and Measures of Dispersion
Video 065 Flash version	Question 065	Solution 065	Solution065-written	Univariate Probability Distributions	Variance and Measures of Dispersion
Video 066 Flash version	Question 066	Solution 066	N/A	Multivariate Probability Distributions	Transformations and Order Statistics
Video 067 Flash version	Question 067	Solution 067	Solution067-written	Univariate Probability Distributions	Variance and Measures of Dispersion
Video 068 Flash version	Question 068	Solution 068	Solution068-written	Univariate Probability Distributions	Median
Video 069 Flash version	Question 069	Solution 069	Solution069-written	Univariate Probability Distributions	Median
Video 070 Flash version	Question 070	Solution 070	Solution070-written	Univariate Probability Distributions	Percentiles
Video 071 Flash version	Question 071	Solution 071	N/A	Univariate Probability Distributions	Transformations
Video 072 Flash version	Question 072	Solution 072	Solution072-written	Univariate Probability Distributions	Transformations
Video 073 Flash version	Question 073	Solution 073	Solution073-written	Multivariate Probability Distributions	Transformations
Video 074 Flash version	Question 074	Solution 074	Solution074-written	Univariate Probability Distributions	Transformations
Video 075 Flash version	Question 075	Solution 075	Solution075-written	Univariate Probability Distributions	Transformations
Video 076 Flash version	Question 076	Solution 076	N/A	Multivariate Probability Distributions	Transformations and Order Statistics
Video 077 Flash version	Question 077	Solution 077	Solution077-written	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 078 Flash version	Question 078	Solution 078	Solution078-written	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 079 Flash version	Question 079	Solution 079	Solution079-written	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 080 Flash version	Question 080	Solution 080	N/A	Multivariate Probability Distributions	Central Limit Theorem
Video 081 Flash version	Question 081	Solution 081	Solution081-written	Multivariate Probability Distributions	Central Limit Theorem
Video 082 Flash version	Question 082	Solution 082	N/A	Multivariate Probability Distributions	Central Limit Theorem
Video 083 Flash version	Question 083	Solution 083	Solution083-written	Multivariate Probability Distributions	Central Limit Theorem
Video 084 Flash version	Question 084	Solution 084	N/A	Multivariate Probability Distributions	Central Limit Theorem
Video 085 Flash version	Question 085	Solution 085	Solution085-written	Multivariate Probability Distributions	Central Limit Theorem
Video 086 Flash version	Question 086	Solution 086	Solution086-written	Multivariate Probability Distributions	Central Limit Theorem
Video 087 Flash version	Question 087	Solution 087	Solution087-written	Multivariate Probability Distributions	Central Limit Theorem
Video 088 Flash version	Question 088	Solution 088	N/A	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 089 Flash version	Question 089	Solution 089	Solution089-written	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 090 Flash version	Question 090	Solution 090	Solution090-written	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 091 Flash version	Question 091	Solution 091	Solution091-written	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 092 not available	Question 092	Solution 092	N/A	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 093 Flash version	Question 093	Solution 093	N/A	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 094 not available	Question 094	Solution 094	N/A	Multivariate Probability Distributions	Moments (Expected Value)
Video 095 Flash version	Question 095	Solution 095	Solution095-written	Multivariate Probability Distributions	Joint Moment Generating Functions
Video 096 Flash version	Question 096	Solution 096	Solution096-written	Univariate Probability Distributions	Moments (Expected Value)
Video 097 Flash version	Question 097	Solution 097	Solution097-written	Multivariate Probability Distributions	Moments (Expected Value) for Joint Prob. Dist.
Video 098 Flash version	Question 098	Solution 098	Solution098-written	Univariate Probability Distributions	Moment Generating Functions
Video 099 Flash version	Question 099	Solution 099	Solution099-written	Multivariate Probability Distributions	Covariance
Video 100 Flash version	Question 100	Solution 100	Solution100-written	Multivariate Probability Distributions	Variance for Marginal Probability Distributions
Video 101 Flash version	Question 101	Solution 101	Solution101-written	Multivariate Probability Distributions	Moments for Linear Combinations of Independent RVs
Video 102 Flash version	Question 102	Solution 102	Solution102-written	Multivariate Probability Distributions	Moments for Linear Combinations of Independent RVs
Video 103 Flash version	Question 103	Solution 103	Solution103-written	Multivariate Probability Distributions	Transformations and Order Statistics
Video 104 not available	Question 104	Solution 104	N/A	Multivariate Probability Distributions	Covariance
Video 105 Flash version	Question 105	Solution 105	Solution105-written	Multivariate Probability Distributions	Covariance
Video 106 Flash version	Question 106	Solution 106	Solution106-written	Multivariate Probability Distributions	Covariance
Video 107 Flash version	Question 107	Solution 107	Solution107-written	Multivariate Probability Distributions	Covariance
Video 108 not available	Question 108	Solution 108	N/A	Multivariate Probability Distributions	Transformations
Video 109 not available	Question 109	Solution 109	N/A	Multivariate Probability Distributions	Transformations
Video 110 Flash version	Question 110	Solution 110	Solution110-written	Multivariate Probability Distributions	Conditional and Marginal Probability Distributions
Video 111 Flash version	Question 111	Solution 111	Solution111-written	Multivariate Probability Distributions	Conditional and Marginal Probability Distributions
Video 112 Flash version	Question 112	Solution 112	Solution112-written	Multivariate Probability Distributions	Conditional and Marginal Probability Distributions
Video 113 Flash version	Question 113	Solution 113	Solution113-written	Multivariate Probability Distributions	Moments for Conditional Probability Distributions
Video 114 Flash version	Question 114	Solution 114	Solution114-written	Multivariate Probability Distributions	Variance for Conditional Probability Distributions
Video 115 Flash version	Question 115	Solution 115	Solution115-written	Multivariate Probability Distributions	Variance for Conditional Probability Distributions
Video 116 Flash version	Question 116	Solution 116	Solution116-written	Multivariate Probability Distributions	Variance for Conditional Probability Distributions
Video 117 Flash version	Question 117	Solution 117	N/A	Multivariate Probability Distributions	Marginal Probability Distributions
Video 118 Flash version	Question 118	Solution 118	Solution118-written	Multivariate Probability Distributions	Marginal Probability Distributions
Video 119 not available	Question 119	Solution 119	N/A	Multivariate Probability Distributions	Marginal Probability Distributions
Video 120 Flash version	Question 120	Solution 120	Solution120-written	Multivariate Probability Distributions	Marginal Probability Distributions
Video 121 Flash version	Question 121	Solution 121	Solution121-written	Multivariate Probability Distributions	Moments (Expected Value) for Marginal Probability
Video 122 not available	Question 122	Solution 122	N/A	Multivariate Probability Distributions	Moments (Expected Value) for Marginal Probability
Video 123 Flash version	Question 123	Solution 123	Solution123-written	General Probability	Conditional Probability
Video 124 Flash version	Question 124	Solution 124	Solution124-written	Multivariate Probability Distributions	Variance for Conditional Probability Distributions
Video 125 Flash version	Question 125	Solution 125	Solution125-written	Multivariate Probability Distributions	Conditional and Marginal Probability Distributions
Video 126 Flash version	Question 126	Solution 126	Solution126-written	General Probability	Law of Total Probability
Video 127 Flash version	Question 127	Solution 127	Solution127-written	Multivariate Probability Distributions	Central Limit Theorem
Video 128 Flash version	Question 128	Solution 128	Solution128-written	General Probability	Set Functions incl. Set Notation and Basic Prob.
Video 129 Flash version	Question 129	Solution 129	Solution129-written	Univariate Probability Distributions	Transformations
Video 130 Flash version	Question 130	Solution 130	Solution130-written	Univariate Probability Distributions	Moment Generating Functions
Video 131 Flash version	Question 131	Solution 131	Solution131-written	Multivariate Probability Distributions	Moments for Conditional Probability Distributions
Video 132 Flash version	Question 132	Solution 132	Solution132-written	General Probability	Combinatorial Probability
Video 133 Flash version	Question 133	Solution 133	Solution133-written	Univariate Probability Distributions	Moments (Expected Value)
Video 134 Flash version	Question 134	Solution 134	Solution134-written	General Probability	Law of Total Probability
Video 135 Flash version	Question 135	Solution 135	Solution135-written	Multivariate Probability Distributions	Variance for Marginal Probability Distributions
Video 136 Flash version	Question 136	Solution 136	Solution136-written	Multivariate Probability Distributions	Moments for Conditional Probability Distributions
Video 137 Flash version	Question 137	Solution 137	Solution137-written	Multivariate Probability Distributions	Joint Moment Generating Functions
Video 138 Flash version	Question 138	Solution 138	Solution138-written	Multivariate Probability Distributions	Transformations
Video 139 Flash version	Question 139	Solution 139	Solution139-written	Multivariate Probability Distributions	Moments for Conditional Probability Distributions
Video 140 Flash version	Question 140	Solution 140	Solution140-written	Univariate Probability Distributions	Mode
Video 141 Flash version	Question 141	Solution 141	Solution141-written	General Probability	Counting Problem
Video 142 Flash version	Question 142	Solution 142	Solution142-written	Univariate Probability Distributions	Moments (Expected Value)
Video 143 Flash version	Question 143	Solution 143	Solution143-written	General Probability	Set Functions incl. Set Notation and Basic Prob.
Video 144 Flash version	Question 144	Solution 144	N/A	Multivariate Probability Distributions	Joint Cumulative Distribution Functions
Video 145 Flash version	Question 145	Solution 145	Solution145-written	Multivariate Probability Distributions	Variance for Conditional Probability Distributions
Video 146 Flash version	Question 146	Solution 146	Solution146-written	General Probability	Set Functions incl. Set Notation and Basic Prob.
Video 147 Flash version	Question 147	Solution 147	Solution147-written	Univariate Probability Distributions	Variance
Video 148 Flash version	Question 148	Solution 148	Solution148-written	Multivariate Probability Distributions	Variance for Marginal Probability Distributions
Video 149 Flash version	Question 149	Solution 149	Solution149-written	Multivariate Probability Distributions	Variance for Marginal Probability Distributions
Video 150 Flash version	Question 150	Solution 150	Solution150-written	Univariate Probability Distributions	Percentiles
Video 151 Flash version	Question 151	Solution 151	Solution151-written	General Probability	Combinatorial probability
Video 152 Flash version	Question 152	Solution 152	Solution152-written	General Probability	Conditional Probability