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PRMIA 8007 Exam Syllabus Topics:

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

1. Identify the type and common element (that is, common ratio or common difference) of the following sequence: 6, 12, 24

A) arithmetic sequence, common ratio 2
B) geometric sequence, common ratio 2
C) geometric sequence, common ratio 3
D) arithmetic sequence, common difference 2

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

3. Two vectors are orthogonal when:

A) their components are linearly dependent
B) their scalar product (sum product) is zero
C) their determinant is zero
D) one is a scalar multiple of the other

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

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

5. What can be said about observations of random variables that are i.i.d. a normally distributed?

A) The estimated mean divided by the estimated variance has a Chi2-distribution
B) The estimated mean divided by the estimated variance has a t-distribution
C) The estimated mean divided by the estimated standard deviation has a t-distribution
D) The estimated mean divided by the estimated standard deviation has a Chi2-distribution

Solutions: