Here’s a listing of the practice problems for the probability exam in the SOA/CAS syllabus.
Problems 101 to 110
Problems 91 to 100
Practice Problem 100 – find the variance of loss in profit
Practice Problem 99 – When Random Loss is Doubled
Practice Problem 98 – flipping coins
Practice Problem 97 – Variance of Claim Sizes
Practice Problem 96 – Expected Insurance Payment
Practice Problem 95 – Measuring Dispersion
Practice Problem 94 – Tracking High School Students
Practice Problem 93 – Determining Average Claim Frequency
Problems 81 to 90

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
Problems 71 to 80

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
Problems 61 to 70

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
Problems 51 to 60

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
Problems 41 to 50

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
Problems 31 to 40

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
Problems 21 to 30

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
Problems 11 to 20

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
Problems 1 to 10
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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,