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CAA Global Module-0 Exam Syllabus Topics:

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

Question 1

Consider the function

Calculate the anti-derivative of f(x).
A)

B)

C)

D)

A. Option D
B. Option A
C. Option C
D. Option B

Question 2

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

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

Question 3

Consider the following definite integral:

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

B)

C)

D)

A. Option D
B. Option A
C. Option C
D. Option B

Question 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 D
B. Option A
C. Option C
D. Option B

Question 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: