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CAA Global Entry exam of the Certified Actuarial Analyst qualification Sample Questions:

1. Identify which of the following statements about the mean of a data set is correct.

A) It is a measure of the spread of the data.
B) It is a measure of the range of the data.
C) It is a measure of the variability of the data.
D) It is a measure of the central tendency of the data.

2. Identify which of the following statements is not true about the probability density function of a continuous random variable.

A) It must be non-negative.
B) Integrating it across its domain must produce an answer of 1.
C) Differentiating it gives the cumulative distribution function.
D) It could be greater than 1.

3. Identify which of the following statements about statistical measures for a set of data is false.

A) The range can be greater than the largest value.
B) The sample variance is always greater than or equal to zero.
C) The range is always greater than or equal to zero.
D) The sample variance is always smaller than or equal to the largest value.

4. 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

5. The volume of a cone can be determined by summing up the infinitesimal circular cross-sections of the cone across the length of the cone Consider the function f(x) = x2 for x contained in [0,1].

Now consider an infinitesimal circular cross-sectional element of width dx and radius r = f(x) Determine the volume of the cone enclosedby the function f(x) by considering the volume of each circular cross-sectional element (Recall thatthe sum of infinitesimal elements can be represented as an integral Recall also that the area of a

circle is
A)

B)

C)

D)
1

A) Option B
B) Option D
C) Option C
D) Option A

Solutions: