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

1. 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

2. Identify which of the following statements is correct.
For a continuous random variable X, the distribution function evaluated at X= x measures:

A) P(xx)
B) P(X<x)
C) P(X = x)
D) P(X>x)

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

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

4. Identify which of the following statements is not always true about a probability experiment.

A) The sum of the probabilities of all possible outcomes must be 1.
B) The sum of the probabilities of all possible events could be more than 1
C) The probability of an event occurring equals the number of outcomes in the event space divided by the total number of possible outcomes in the sample space.
D) The probability of an event must lie in [0,1].

5. 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 B
C) Option C
D) Option A

Solutions: