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

1. Determine the stationary point(s) for the following function

A) Maximum at x = 1 and maximum at x = 3.
B) Minimum at x = 1 and minimum at x = 3.
C) Minimum at x = -1 and maximum at x = -3.
D) Minimum at x = -3 and maximum at x = -1.

2. Identify which of the following statements is not true about the probability density function of a continuous random variable.

A) It must be non-negative.
B) Differentiating it gives the cumulative distribution function.
C) Integrating it across its domain must produce an answer of 1.
D) It could be greater than 1.

3. Calculate

A) 399.68
B) 58.88
C) 337.84
D) 951.84

4. Determine which of the following function is equal to (2+ x)3

A) 8 + 12x + 2X2+ x3
B) 1+ 3x + 3X2+ x3
C) 6+ 3x + 3X2+ x3
D) 8 + 4x + 2X2+ x3

5. Let X and Y be two independent random variables.
Identify which of the following statements is false.

A) E [XY] E [X] E [Y]
B) E[X2] = E[X]E[X]
C) E[X-Y] =E [X] - E [Y]
D) E[2X] = 2E [X

Solutions: