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

1. Identify which of the following statements is true,where X is a discrete random variable that exists over the domain [a. b], and F(x) is its distribution function.
A)

B)

C)

D)

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

2. Consider the following definite integral:

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

B)

C)

D)

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

3. 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

4. Two real numbers, x and y, satisfy the following inequalities:

Determine which statement is true.

A) y can be negative.
B) y cannot be zero.
C) y must be positive.
D) y cannot be negative.

5. Identify the necessary and sufficient condition under which the quadratic equation ax2+ 2a2x + a3= 0 hasone repeated real root.

A) a<0
B) a = 0
C) a0
D) a>0

Solutions: