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Ace the IFoA IFoA_CAA_M0 Exam: Ultimate Preparation Guide

Questions 1

The graph shows the frequency distribution of the age of people with a certain kind of insurance contract.

 IFoA_CAA_M0 Question 1

Describe the shape of the underlying data.

Options:

A.

Negatively skewed

B.

Positively skewed

C.

Symmetric

D.

Symmetric about the mean

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Questions 2

Determine the coefficient of x3 in the binomial expansion of (2 + x)5.

Options:

A.

10

B.

40

C.

64

D.

80

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Questions 3

Calculate the value of

 IFoA_CAA_M0 Question 3

Options:

A.

259

B.

504

C.

525

D.

725

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Questions 4

Calculate the total area enclosed by the x-axis and the function below, between x = 1.5 and x = 2.

f(x) = 2x3

Options:

A.

2.734

B.

5.469

C.

8.000

D.

10.938

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Questions 5

Consider a function f which has three variables, x1, x2 and x3.

 

Identify which of the following gives a correct definition of a partial derivative of the function f.

Options:

A.

The derivative of f with respect to either one of its variables or two of its variables, the other two variables or the third variable being treated as constant, respectively.

B.

The derivative of f with respect to one of its variables only, the other two variables being treated as constant.

C.

The derivative of f with respect to two of its variables, the third variable being treated as constant.

D.

The derivative of f with respect to all three of its variables.

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Questions 6

Determine which of the following statements are not true.

 IFoA_CAA_M0 Question 6

I. In a histogram the height of each rectangle equals the frequency of the interval

II. A box-plot chart is constructed to show the following values: Mean, Median, Upper Quartile, Minimum and Maximum

III. The set of data 2,2,5,7,8,8,9,10,11,12,14,16, 20 can be represented by the following frequency table:

 

Options:

A.

II

B.

I and III

C.

II and III

D.

All of them

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Questions 7

The random variable X has the following probability density function ("PDF"):

 

 IFoA_CAA_M0 Question 7

 

 Calculate: P(x ≥ 1.5)

Options:

A.

0.164

B.

0.250

C.

0.320

D.

0.484

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Questions 8

X is a random variable with expected value E(X).

 

Identify which of the following is not a valid method for calculating the variance of X.

Options:

A.

E[ X - E(X) ]2

B.

The second moment of X minus the square of the first moment of X.

C.

E( X2 ) - [ E(X) ]2

D.

E( X2 ) - E(X)

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Questions 9

A discrete random variable can only take the values 2,3,4 or 5. The probabilities associated with some of the outcomes are: P(X=2) = 0.2, P(X=3) = 0.3, P(X=5) = 0.1.

 

For a randomly drawn value of X, calculate P(X>3).

Options:

A.

0.1

B.

0.4

C.

0.5

D.

0.8

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Questions 10

Consider the function:

 IFoA_CAA_M0 Question 10

Calculate the partial derivative IFoA_CAA_M0 Question 10 .

A)

IFoA_CAA_M0 Question 10

B)

IFoA_CAA_M0 Question 10

C)

IFoA_CAA_M0 Question 10

D)

IFoA_CAA_M0 Question 10

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

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Exam Code: IFoA_CAA_M0
Exam Name: Module 0 - Entry Exam
Last Update: Jul 19, 2024
Questions: 64

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