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IFoA_CAA_M0 Exam Dumps - IFoA Certified Actuarial Analyst Questions and Answers

Question # 4

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

 

 4x2 - 11x - 3 = 0

 

Calculate the premium.

Options:

A.

-£1.00

B.

-£0.25

C.

£0.75

D.

£3.00

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Question # 5

Determine which of the options is equal to log(3) - 2log(x+1).

A)

B)

C)

D)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

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Question # 6

Determine and describe the extreme values of f(x,y) = -x2 - xy - 3y2

Options:

A.

(0,1) and a saddle point

B.

(0,0) and a minimum

C.

(0,0) and a maximum

D.

(0.5,-1) and a maximum

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Question # 7

In a small island nation, local sea vessels are identified using "a letter and 4 digits" classification system. The "letter" can be any of the 26 letters in the English alphabet, A to Z,  while the "digit" can be any number from 0 to 9. E.g: Z9835.

 

Calculate the probability of a sea vessel having an identification ending in "007".

Options:

A.

0.001

B.

0.002

C.

0.003

D.

0.504

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Question # 8

The probability density function f(x) for a random variable X is defined over the interval 0 to 1.

f(x) = 2(1-x).

 

Calculate the probability that X is greater than 0.5.

Options:

A.

0.25

B.

0.5

C.

0.75

D.

1

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Question # 9

v = f(x, y, z) is a real valued function of 3 variables.

 

Express the partial derivative of v with respect to z in standard mathematical notation.

A)

B)

C)

D)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

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Question # 10

For the following data set, calculate the mean and median.

10, 8, 5, 7, 14, 5, 3, 9, 5, 8

Options:

A.

The mean is 7.4 and the median is 7.5.

B.

The mean is 7.4 and the median is 8.0.

C.

The mean is 8.2 and the median is 7.5.

D.

The mean is 8.2 and the median is 8.0.

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Question # 11

1/5 of actuarial students like skiing.

2/5of actuarial students like snowboarding.

1/3  of actuarial students like skiing and snowboarding.

 

Calculate the proportion of actuarial students that like skiing or snowboarding.

A)

B)

C)

D)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

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Question # 12

An individual purchases a share in a company at a price of £45. Six months later he sells the share for £39.

 

Calculate the percentage change in the value of the share over the six month period, correct to one decimal place.

Options:

A.

-15.4%

B.

-13.3% 

C.

13.3%

D.

86.7%

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Exam Code: IFoA_CAA_M0
Exam Name: Module 0 - Entry Exam
Last Update: Feb 23, 2025
Questions: 64
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