Here’s a listing of the practice problems for the probability exam in the SOA/CAS syllabus.

Practice Problem 95 – Measuring Dispersion

Practice Problem 94 – Tracking High School Students

Practice Problem 93 – Determining Average Claim Frequency

Practice Problem 92 – Expected Claim Payment

Practice Problem 91 – Reviewing a Group of Policyholders

Practice Problem 90 – Insurance Benefits

Practice Problem 89 – Finding Median

Practice Problem 88 – Expected Value of Insurance Payments

Practice Problem 87 – Modeling Insurance Payments

Practice Problem 86 – Finding Mean and Variance

Practice Problem 85 – Supplemental Coverages for Employees

Practice Problem 84 – When Random Loss is Doubled

Practice Problem 83 – Claim Size of Auto Insurance Policies

Practice Problem 82 – Estimating the Median Weight of Bears

Practice Problem 81 – A Medical Survey

Practice Problem 80 – Total Insurance Payment

Practice Problem 79 – wait time at a bank

Practice Problem 78 – Tracking A Group of Insureds

Practice Problem 77 – Estimating Random Claim Sizes

Practice Problem 76 – Quantifying Average Random Loss

Practice Problem 75 – Travel Time to Work By Train

Practice Problem 74 – Review of Auto Insurance Claims

Practice Problem 73 – Wait Time at a Busy Restaurant

Practice Problem 72 – Risk Categories of Insured Drivers

Practice Problem 71 – Estimating Claim Frequency

Practice Problem 70 – Real Estate Sales Contest

Practice Problem 69 – More Large Claim Studies

Practice Problem 68 – Large Claim Studies

Practice Problem 67 – Statistical Studies of Insured Drivers

Practice Problem 66 – Median Cholesterol Level

Practice Problem 65 – Total Insurance Payment

Practice Problem 64 – Median Claim Size

Practice Problem 63 – Total Minutes of Telephone Calls

Practice Problem 62 – Waiting for Telephone Calls

Practice Problem 61 – Claim Size of Auto Insurance Policies

Practice Problem 60 – Health Insurance Claim Frequency

Practice Problem 59 – Joint Distributions

Practice Problem 58 – Dental Care and Vision Care Expenses

Practice Problem 57 – Lifetimes of Machines

Practice Problem 56 – Reporting of Auto Accidents

Practice Problem 55 – Expected Benefit Payment

Practice Problem 54 – Expected Insurance Payment

Practice Problem 53 – Hospital Expense Plans

Practice Problem 52 – Reliability of Refrigerators

Practice Problem 51 – Expected Claim Payment

Practice Problem 50 – Payments for Hospitalization

Practice Problem 49 – Aggregate Claim Costs

Practice Problem 48 – Dental and Vision Expenses

Practice Problem 47 – A Study of Cardiovascular Patients

Practice Problem 46 – Finding Moment of a Sum

Practice Problem 45 – Heights of Male Students

Practice Problem 44 – Traffic Statistics Using Poisson Distribution

Practice Problem 43 – Joint Random Losses

Practice Problem 42 – Losses due to Collisions

Practice Problem 41 – Conditional Expected Number of Balls

Practice Problem 40 – Total Claim Amount

Practice Problem 39 – Repair Costs for Collision Damage

Practice Problem 38 – Poisson Distribution

Practice Problem 37 – Number of Claims

Practice Problem 36 – Number of Claims

Practice Problem 35 – Lifetime of Machine

Practice Problem 34 – Number of Claims

Practice Problem 33 – Total Claim Amount

Practice Problem 32 – Covariance

Practice Problem 31 – Covariance

Practice Problem 30 – Mean and Variance of Total Loss

Practice Problem 29 – Expected Insurance Payment

Practice Problem 28 – Wait Time to See Doctor

Practice Problem 27 – Exponential Distributions

Practice Problem 26 – Uniform Distribution

Practice Problem 25 – Uniform Distribution

Practice Problem 24 – Total Number of Claims

Practice Problem 23 – Medical Screening

Practice Problem 22 – Poisson Number of Claims

Practice Problem 21 – Poisson Number of Claims

Practice Problem 20 – Poisson Number of Claims

Practice Problem 19 – Poisson Streams of Customers

Practice Problem 18 – Variance of a Sum

Practice Problem 17 – Finding Variance of a Sum

Practice Problem 16 – Conditional Probability and Exponential Distribution

Practice Problem 15 – Still More Convolution Practice

Practice Problem 14 – More Convolution Practice

Practice Problem 13 – Convolution Technique

Practice Problem 12 – Poisson Model of Hospital Costs

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by Dan Ma

Hi Dan , wanted to thank you for posting these problems. They are great for my exam p preparation . Wanted to know, do you also have the worked out solutions?? Thanks,