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CAA Global Entry exam of the Certified Actuarial Analyst qualification Sample Questions:

1. The volume of a cone can be determined by summing up the infinitesimal circular cross-sections of the cone across the length of the cone Consider the function f(x) = x2 for x contained in [0,1].

Now consider an infinitesimal circular cross-sectional element of width dx and radius r = f(x) Determine the volume of the cone enclosedby the function f(x) by considering the volume of each circular cross-sectional element (Recall thatthe sum of infinitesimal elements can be represented as an integral Recall also that the area of a

circle is
A)

B)

C)

D)
1

A) Option C
B) Option B
C) Option A
D) Option D

2.

A) 2,056
B) 1.224
C) 3,286
D) 986

3. Identify which of the following statements about the mean of a data set is correct.

A) It is a measure of the spread of the data.
B) It is a measure of the central tendency of the data.
C) It is a measure of the range of the data.
D) It is a measure of the variability of the data.

4. Identify which of the following statements is not always true about a probability experiment.

A) The sum of the probabilities of all possible events could be more than 1
B) The sum of the probabilities of all possible outcomes must be 1.
C) The probability of an event occurring equals the number of outcomes in the event space divided by the total number of possible outcomes in the sample space.
D) The probability of an event must lie in [0,1].

5. Let X be a continuous random variable with probability density function f(x) that is defined over all real numbers.
DefineE[g(X)]whereg(x)is a continuous function.
A)

B)

C)

D)

A) Option
B) Option
C) Option
D) Option

Solutions: