Updated Sep-2021 Test Engine to Practice Test for Module-0 Exam Questions and Answers!
Entry exam of the Certified Actuarial Analyst qualification Certification Sample Questions and Practice Exam
NEW QUESTION 18
Let X be a random variable.
identify which of the following statements is correct.
A)
B)
C)
D)
- A. Option D
- B. Option B
- C. Option A
- D. Option C
Answer: B
NEW QUESTION 19
Determine which of the following statements is not true about the binomial expansion of (1+x)p, assuming p is real.
- A.
- B.
- C. it converges when p is a p positive integer.
- D.
Answer: D
NEW QUESTION 20
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
Answer: B
NEW QUESTION 21
The distribution of test scores from a recent clinical drug study have been tabulated below.
Determine i) whether the distribution of test scores are symmetric positively skewed or negatively skewed, and ii) the sample median value.
- A. i) Positively skewed, ii)
- B. i) Positively skewed, ii) 3
- C. i) Symmetric, ii) 4
- D. i) Negatively skewed, ii) 3
Answer: B
NEW QUESTION 22
Let a and b be two positive numbers and let m and n be two positive integers.
Identify which of the followingequalities is false.
A)
B)
C)
D)
- A. Option A
- B. Option D
- C. Option B
- D. Option C
Answer: B
NEW QUESTION 23 
A)
B)
C)
D)
- A. Option A
- B. Option D
- C. Option B
- D. Option C
Answer: B
NEW QUESTION 24
Identify which of the following statements are true.
I.Skewness measures how peaked a set of data is
II.Skewness is a measure of asymmetry of the distribution of the data about its mean.
III. For a symmetrically distributed data, the mean equals the median but not necessarily the mode IV. The value of a measure of skewness can be positive, zero or negative.
- A. II and IV only
- B. I and III only
- C. II, III and IV only
- D. I and II only
Answer: A
NEW QUESTION 25
Identify which of the following statements is not true about the probability density function of a continuous random variable.
- A. Integrating it across its domain must produce an answer of 1.
- B. It must be non-negative.
- C. Differentiating it gives the cumulative distribution function.
- D. It could be greater than 1.
Answer: D
NEW QUESTION 26
Identify which of the following quantities can always be derived from a box plot of a data set.
I.Mean
II.Median
III. Mode
IV. Range
V.Sample size
- A. II and IV only
- B. I and III only
- C. I and II only
- D. IV and V only
Answer: A
NEW QUESTION 27
Let x and y be two positive real numbers.
Rewrite the following equation such that y becomes the subject of the formula:
A)
B)
C)
D)
- A. Option D
- B. Option C
- C. Option A
- D. Option B
Answer: B
NEW QUESTION 28 
- A. 2,056
- B. 0
- C. 3,286
- D. 1.224
Answer: B
NEW QUESTION 29
Identify which of the following statements is correct.
For a continuous random variable X, the distribution function evaluated at X= x measures:
- A. P(X<x)
- B. P(X>x)
- C. P(X = x)
- D. P(xx)
Answer: A
NEW QUESTION 30
Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.
- A. I and IV
- B. I, II and IV
- C. II, III and IV
- D. II and IV
Answer: D
NEW QUESTION 31
In an Olympic Race there are 100 competitors.
Calculate the number of ways of distributing the Gold. Silver and Bronze medals amongst all of the competitors.
A)
B)
C)
D)
- A. Option A
- B. Option D
- C. Option B
- D. Option C
Answer: A
NEW QUESTION 32
Consider the function f(x) =x2- 5x - 3
The value of one of the roots of the above equation can be obtained by using the iteration formula
Apply the iteration formula to determine the value of the root.
- A. 0.54
- B. 1.54
- C. 4.40
- D. 5.53
Answer: C
NEW QUESTION 33
Identify which of the following is not true about the population variance of a set of data.
- A. It can be calculated as
- B. It can be calculated as
- C. It is represented by the symbol
- D. Its positive square root gives the standard deviation
Answer: A
NEW QUESTION 34
A snack bar does not give an itemised bill tor drinks In the past three visits, the total bills have been:
1) Three teas, two coffees and one lemonade cost £9.80
2) One tea four coffees and two lemonades cost £13.60
3) Two teas, two coffees andtwo lemonades cost£10
Calculate the price for a single coffee, given the prices have been the same for the three visits.
- A. £2.48
- B. £2.05
- C. £2.40
- D. £1.20
Answer: C
NEW QUESTION 35
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