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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Probability and Statistics | 40% | - Data presentation and analysis - Discrete and continuous probability distributions - Basic probability theory - Measures of location, dispersion and correlation - Statistical inference and hypothesis testing |
| Topic 2: Introduction to Actuarial Concepts | 10% | - Overview of actuarial work and risk management - Basic actuarial applications |
| Topic 3: Financial Mathematics Basics | 20% | - Interest rates and discounting - Basic investment and cash flow concepts - Annuities and perpetuities - Time value of money |
| Topic 4: Fundamental Mathematics | 30% | - Algebra, equations and inequalities - Mathematical constants and standard functions - Numerical methods - Differential and integral calculus - Sequences and series |
1. Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.
A) II and IV
B) II, III and IV
C) I and IV
D) I, II and IV
2. Express the following using Pi notation:
A)
B)
C)
D)
A) Option D
B) Option C
C) Option B
D) Option A
3. Identify which of the following statements about the mean of a data set is correct.
A) It is a measure of the central tendency of the data.
B) It is a measure of the variability of the data.
C) It is a measure of the range of the data.
D) It is a measure of the spread of the data.
4. Identify which of the following statements about statistical measures for a set of data is false.
A) The sample variance is always smaller than or equal to the largest value.
B) The range can be greater than the largest value.
C) The sample variance is always greater than or equal to zero.
D) The range is always greater than or equal to zero.
5. Let X and Y be two independent random variables.
Identify which of the following statements is false.
A) E [XY] E [X] E [Y]
B) E[X-Y] =E [X] - E [Y]
C) E[X2] = E[X]E[X]
D) E[2X] = 2E [X
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: D | Question # 3 Answer: D | Question # 4 Answer: B | Question # 5 Answer: C |
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