Exit demo MODULE-0 Entry exam of the Certified Actuarial Analyst qualification PDF format · free preview

CAA Global MODULE-0 - Questions & Answers

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Question 1
Single choice

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.

I and II only

D.

II, III and IV only

Question 2
Single choice

Consider the function

Calculate the anti-derivative of f(x).

A.

Option A

B.

Option B

C.

Option C

D.

Option D

Question 3
Single choice

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) Symmetric,
ii) 4

C.

i) Positively skewed,
ii) 3

D.

i) Negatively skewed,
ii) 3

Question 4
Single choice

A set of 17 observed values is being studied.

Identify which of the following statements is/are true.

I The median must be equalto one of the observed values.

II. The mean could be different from all of the observed values.

Ill If the observations are positively skewed, then the mean is less than the median

IV. More than one mode is not possible.

A.

II and IV only

B.

I and II only

C.

III only

D.

I only

Question 5
Single choice

A weekly pet insurance premium is given by a solution of the following equation:

4x2-11x-3 = 0

Calculate the premium.

A.

-£1

B.

-£3

C.

-£0.75

D.

-£0.25

Question 6
Single choice

Let X be a continuous random variable with probability density function f(x) that is defined over all real numbers.

DefineE[g(X)]whereg(x)is a continuous function.

A.

Option A

B.

Option B

C.

Option C

D.

Option D

Question 7
Single choice

Suppose A and B are two events and that A denotes the complement of A.

Identify the false statement.

A.

Option A

B.

Option B

C.

Option C

D.

Option D

Question 8
Single choice

Identify which of the following statements is correct.

A.

x in(n)

B.

In(x)+ in(n)

C.

n in (x)

D.

In (nx)

Question 9
Single choice

Calculate the determinant of the product of the matrices given below:

A.

-60

B.

-440

C.

-0 00227

D.

-78

Question 10
Single choice

Differentiate with respect to X:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

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