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PRMIA 8007 Exam Syllabus Topics:

PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:

1. What is the indefinite integral of the function f(x) = ln(x), where ln(x) denotes the natural logarithmic function?

A) 1/x
B) exp(x)
C) ln(x) - x
D) x ln(x) - x

2. If a random variable X has a normal distribution with mean zero and variance 4, approximately what proportion of realizations of X should lie between -4 and +4?

A) 99%
B) 66.60%
C) 90%
D) 95%

3. Let a, b and c be real numbers. Which of the following statements is true?

A) The distributivity of multiplication is defined by
B) The existence of negatives is defined by
C) The commutativity of multiplication is defined by
D) The associativity of multiplication is defined by

4. The first derivative of a function f(x) is zero at some point, the second derivative is also zero at this point. This means that:

A) f has necessarily a minimum at this point
B) f has necessarily neither a minimum nor a maximum at this point
C) f might have either a minimum or a maximum or neither of them at this point
D) f has necessarily a maximum at this point

5. An indefinite integral of a polynomial function is

A) always positive
B) always increasing
C) none of the above
D) always less than the function itself

Solutions: