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PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. The fundamental theorem of analysis establishes a relation between
A) Integration and differentiation of functions
B) First and second derivative of a function
C) The derivative of a function and the derivative of its inverse function
D) The derivative of a function and the slope of its graph
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) equal to -2
B) in the interval ]-2.5,-2[
C) in the interval ]-2,+[
D) in the interval ]-,-2.5]
3. When a number is written with a fraction as an exponent, such as , which of the following is the correct computation?
A) Take the square-root of 75 and raise it to the 5th power
B) Divide 75 by 2, then raise it to the 5th power
C) Square 75, then take the fifth root of it
D) Multiply 75 by 2.5
4. Which of the following statements about variance and standard deviation are correct?
1. When calculated based on a sample of the population data, one has to correct for any bias in the result by using the number of degrees of freedom in the calculation
2. Variance is in square root units of the underlying data, whereas standard deviation is in units of the underlying data
3. When considering independent variables, variance is additive, while standard deviation is not
A) Statements 1 and 3 are correct
B) Statements 2 and 3 are correct
C) Statements 1 and 2 are correct
D) All three statements are correct
5. What is the simplest form of this expression: log2(165/2)
A) log2 (5/2) + log2(16)
B) 10
C) 5/2 + log2(16)
D) 32
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: A | Question # 5 Answer: B |
