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PRMIA 8007 Exam Syllabus Topics:

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

1. 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) 90%
B) 95%
C) 99%
D) 66.60%

2. The fundamental theorem of analysis establishes a relation between

A) The derivative of a function and the derivative of its inverse function
B) First and second derivative of a function
C) Integration and differentiation of functions
D) The derivative of a function and the slope of its graph

3. Consider the following distribution data for a random variable X: What is the mean and variance of X?

A) 3.6 and 7.15
B) 3.5 and 3.45
C) None of these
D) 3.4 and 3.84

4. Let A be a square matrix and denote its determinant by x. Then the determinant of A transposed is:

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

5. You are given the following values of a quadratic function f(x): f(0)=0, f(1)=-2, f(2)=-5. On the basis of these data, the derivative f'(0) is ...

A) in the interval ]-2,+[
B) equal to -2
C) in the interval ]-2.5,-2[
D) in the interval ]-,-2.5]

Solutions: