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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 three vectors:

Determine which of (he vectors or combination of vectors shown in the options has the greatest magnitude

A. w
B. v
C. v-u
D. u+v

Question 2

The distribution of test scores from a recent clinical drug study have been tabulated below.
Determine i) whether the distribution of test scores are symmetric positively skewed or negatively skewed, and ii) the sample median value.

A. i) Positively skewed, ii)
B. i) Negatively skewed, ii) 3
C. i) Symmetric, ii) 4
D. i) Positively skewed, ii) 3

Question 3

Determine the binomial expansion of (2x-X2)3.

A. -x6+2x5-4x4+8x3
B. -x8+2xa-4x4+8x3
C. -x6+3x5-3x4+x3
D. -X6+8x3

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

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: