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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Probability Theory | - Fundamental Probability Concepts
|
| Numerical Methods | - Quantitative Techniques
|
| Linear Algebra | - Matrix Methods
|
| Statistical Analysis | - Descriptive and Inferential Statistics
|
| Regression and Time Series Analysis | - Modeling Techniques
|
| Risk Measurement Applications | - Quantitative Risk Analysis
|
| Calculus | - Differential and Integral Calculus
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Kurtosis(X) is defined as the fourth centred moment of X, divided by the square of the variance of X.
Assuming X is a normally distributed variable, what is Kurtosis(X)?
- A. 0
- B. 1
- C. 3
- D. 2
Correct Answer: C 🗳️
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. 95%
- B. 66.60%
- C. 90%
- D. 99%
Correct Answer: A 🗳️
Newton-Raphson iteration is used to find a solution of x5 - x3 + x = 1. If xn = 2, what is xn+1?
- A. 1.638
- B. 1.623
- C. 2.362
- D. 0.377
Correct Answer: A 🗳️
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. 0.3483
- D. 0.7367
Correct Answer: C 🗳️
In statistical hypothesis tests, 'Type I error' refers to the situation in which...
- A. The null hypothesis is accepted when in fact it should have been rejected
- B. Both null hypothesis and alternative hypothesis are rejected
- C. Both null hypothesis and alternative hypothesis are accepted
- D. The null hypothesis is rejected when in fact it should have been accepted
Correct Answer: D 🗳️
