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

1. Simplify the expression:

A)

B)

C)

D)

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

2. Consider the function f(x) =x2- 5x - 3
The value of one of the roots of the above equation can be obtained by using the iteration formula

Apply the iteration formula to determine the value of the root.

A) 4.40
B) 1.54
C) 5.53
D) 0.54

3. 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 C
D) Option A

4. 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

5. Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.

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

Solutions: