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| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Probability and Statistics | 40% | - Basic probability theory - Discrete and continuous probability distributions - Data presentation and analysis - Measures of location, dispersion and correlation - Statistical inference and hypothesis testing |
| Topic 2: Financial Mathematics Basics | 20% | - Annuities and perpetuities - Time value of money - Interest rates and discounting - Basic investment and cash flow concepts |
| Topic 3: Fundamental Mathematics | 30% | - Sequences and series - Differential and integral calculus - Mathematical constants and standard functions - Algebra, equations and inequalities - Numerical methods |
| Topic 4: Introduction to Actuarial Concepts | 10% | - Basic actuarial applications - Overview of actuarial work and risk management |
1. Identify which of the following statements is not true.
A) The variance is the square of the standard deviation.
B) The skewness is a measure of the asymmetry of a probability distribution about the mean.
C) The coefficient of skewness for a symmetric distribution is 1.
D) The standard deviation is a measure of how much variation from the mean exists in a probability distribution.
2. Consider the function
Calculate the anti-derivative of f(x).
A)
B)
C)
D)
A) Option D
B) Option A
C) Option C
D) Option B
3. Identify which of the following statements is true,where X is a discrete random variable that exists over the domain [a. b], and F(x) is its distribution function.
A)
B)
C)
D)
A) Option D
B) Option A
C) Option C
D) Option B
4. Determine which of the following statements is not true about the binomial expansion of (1+x)p, assuming p is real.
A) it converges when p is a p positive integer.
B)
C)
D) 
5. Identify the necessary and sufficient condition under which the quadratic equation ax2+ 2a2x + a3= 0 hasone repeated real root.
A) a = 0
B) a<0
C) a>0
D) a0
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: B | Question # 3 Answer: B | Question # 4 Answer: B | Question # 5 Answer: C |
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