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

1. Determine which of the following statements is not true about the binomial expansion of (1+x)p, assuming p is real.

A) it converges when p is a p positive integer.
B)

C)

D)

2.
Calculate the minimum value of f.

A) -0.25
B) -0.75
C) 0.00
D) -0.50

3.

A)

B)

C)

D)

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

4. 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 D
C) Option A
D) Option C

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: