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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Probability Theory | - Fundamental Probability Concepts
|
| Topic 2: Calculus | - Differential and Integral Calculus
|
| Topic 3: Linear Algebra | - Matrix Methods
|
| Topic 4: Risk Measurement Applications | - Quantitative Risk Analysis
|
| Topic 5: Regression and Time Series Analysis | - Modeling Techniques
|
| Topic 6: Statistical Analysis | - Descriptive and Inferential Statistics
|
| Topic 7: Numerical Methods | - Quantitative Techniques
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. Two vectors are orthogonal when:
A) their scalar product (sum product) is zero
B) their determinant is zero
C) their components are linearly dependent
D) one is a scalar multiple of the other
2. Evaluate the derivative of exp(x2 + 2x + 1) at the point x = -1
A) 0.5
B) 2
C) 1
D) 0
3. A biased coin has a probability of getting heads equal to 0.3. If the coin is tossed 4 times, what is the probability of getting heads at least two times?
A) 0.2646
B) None of these
C) 0.7367
D) 0.3483
4. Which of the following statements concerning class intervals used for grouping of data is correct?
When grouping data, attention must be paid to the following with regards to class intervals:
1. Class intervals should not overlap
2. Class intervals should be of equal size unless there is a specific need to highlight data within a specific subgroup
3. The class intervals should be large enough so that they not obscure interesting variation within the group
A) Statements 2 and 3 are correct
B) All three statements are correct
C) Statements 1 and 2 are correct
D) Statements 1 and 3 are correct
5. 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) Square 75, then take the fifth root of it
C) Divide 75 by 2, then raise it to the 5th power
D) Multiply 75 by 2.5
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: D | Question # 3 Answer: D | Question # 4 Answer: C | Question # 5 Answer: A |
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