Online Exam: College
Actuaries in the U.S., Canada and other parts of the world earn professional credentials by passing a series of examinations. This Online Exam is designed to give you an idea of the types of questions you might encounter on the preliminary actuarial examinations administered by the Casualty Actuarial Society and Society of Actuaries. Please be sure to review the Actuarial Exams section of the Web Site, where you can access complete sample actuarial exams.
Answer the five multiple choice questions below, then click submit to see your results. If you are a high school student, please take our High School version of the Online Exam.
1.
What is the average age to which a 90-year old man will live, given that the probability a person age x will die before age x+1 is (x - 89) / 5?
2.
In calendar year 2003, the medical claim costs per employee of a company is estimated to have the following probability density function: f(x) = k × e- x / 2 x > 0 where k is a constant that you need to calculate, and x is in units of $1000. What is the probability that costs per employee in 2003 will exceed $6000.
3.
The joint probability density function of X and Y is given by f(x,y) | = 2 | | for 0 < x< y and 0 < y < 1 | | = 0 | | otherwise |
Calculate the absolute value of the difference of the variances of X and Y.
4.
The joint probability density function of the integer valued discrete random variables X and Y is given by f(x,y) | = (x + y) / 60 | | for x =1,2,3,4 and 0 < y < x +1 | | = 0 | | otherwise |
Given that Y = 3 , calculate the probability that X = 4.
5.
The volume V and surface area S of a spherical balloon with radius r are given by
 and S= .
The volume of the balloon increases at a rate of 60 cm3 / min when the balloon's diameter is 6 cm. How fast is the surface area of the balloon changing when the balloon's diameter is 6 cm?
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