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CAA Global Module-0 - Entry exam of the Certified Actuarial Analyst qualification

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Total 58 questions

Consider the function

Calculate the anti-derivative of f(x).

A)

B)

C)

D)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

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 A

B.

Option B

C.

Option C

D.

Option D

Calculate the scalar product of the vectors A and B. where A = (5,10, 2) and B - (2. 3, 3).

A.

118

B.

46

C.

136

D.

(10,30,6)

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.

4.40

C.

5.53

D.

1.54

Identify which of the following statements is not always true about a probability experiment.

A.

The sum of the probabilities of all possible outcomes must be 1.

B.

The sum of the probabilities of all possible events could be more than 1

C.

The probability of an event must lie in [0,1].

D.

The probability of an event occurring equals the number of outcomes in the event space divided by the total number of possible outcomes in the sample space.

Let X and Y be two independent random variables.

Identify which of the following statements is false.

A.

E[X2] = E[X]E[X]

B.

E[X-Y] =E [X] - E [Y]

C.

E [XY] E [X] E [Y]

D.

E[2X] = 2E [X

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.

I and III only

B.

II and IV only

C.

IV and V only

D.

I and II only