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

1. Consider the following definite integral:

Determine for which combination of a and b the integral converges.
A)

B)

C)

D)

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

2. 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 B
B) Option A
C) Option D
D) Option C

3. A set of 17 observed values is being studied.
Identify which of the following statements is/are true.
I The median must be equalto one of the observed values.
II. The mean could be different from all of the observed values.
Ill If the observations are positively skewed, then the mean is less than the median IV. More than one mode is not possible.

A) I only
B) III only
C) I and II only
D) II and IV only

4. Calculate the single extreme point of the function:

A) (0.1)
B) (0,2)
C) (0,4)
D) (1.1)

5. A student is trying to estimate the root of the equation
Determine which of the suggestions will lead to the root.

A) I and II only
B) II and IV only
C) I and IV only
D) II and III only

Solutions: