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

1. In statistical hypothesis tests, 'Type I error' refers to the situation in which...

A) Both null hypothesis and alternative hypothesis are accepted
B) The null hypothesis is accepted when in fact it should have been rejected
C) The null hypothesis is rejected when in fact it should have been accepted
D) Both null hypothesis and alternative hypothesis are rejected

2. If a time series has to be differenced twice in order to be transformed into a stationary series, the original series is said to be:

A) integrated of order 2
B) non-functional
C) non-linear
D) differential

3. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
What is the value of the test statistic for the hypothesis that the coefficient of is less than 1?

A) 0.64
B) 0.96
C) 1.92
D) 0.32

4. Which of the following is a false statement concerning the probability density function and the cumulative distribution function of a random variable?

A) the definite integral of the CDF from minus infinity to plus infinity is undefined.
B) the definite integral of the PDF from minus infinity to plus infinity is zero.
C) the PDF is non-negative.
D) the CDF approaches 1 as its argument approaches infinity.

5. Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses...

A) One dependent variable, many independent variables, one error variable
B) One dependent variable, one independent variable, many error variables
C) Many dependent variables, many independent variables, many error variables
D) Many dependent variables, one independent variable, one error variable

Solutions: