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Ace the IFoA IFoA_CAA_M0 Exam: Ultimate Preparation Guide

Questions 11

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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Questions 12

A biased coin has the following probability distribution function:

P(heads) = 0.80

P(tails) = 0.20

 

The biased coin is tossed twice in succession.  

 

Calculate the probability of tossing at least one tail.

Options:

A.

0.20

B.

0.36

C.

0.64

D.

0.80

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Questions 13

Define the standard deviation of a finite data set.

Options:

A.

The standard deviation is the sum of the difference between each data point and its expected value.

B.

The standard deviation is the product of the difference between each data point and its expected value.

C.

The standard deviation is the square root of the product of the squared difference between each data point and its expected value.

D.

The standard deviation is the square root of the average of the squared difference between each data point and its expected value.

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Questions 14

Solve the following equation for x:

 

12x +10 = 3x - 8

Options:

A.

x = -9/2

B.

x = -2

C.

x = 2

D.

x = 9/2

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Questions 15

Identify the condition that fully describes the existence of independence between two events A and B.

Options:

A.

P(A|B) = P(A)/P(B) and P(B|A) = P(B)/P(A)

B.

P(A|B) = P(A) - P(B) and P(B|A) = P(B) - P(A)

C.

P(A|B) = P(A) and P(B|A) = P(B)

D.

P(A|B) = P(A) + P(B) and P(B|A) = P(B) + P(A)

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Questions 16

Calculate the sum of the following non-terminating progression:

 

2/10, 2/40, 2/160, 2/640,...

Options:

A.

0.174

B.

0.266

C.

0.267

D.

0.406

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Questions 17

The variable s can take values between 2 and 6.

 

Identify which of the inequalities shown can be satisfied by at least one value of s.

Options:

A.

s + 5 < 6

B.

s + 9 < 6

C.

s - 6 > 2

D.

s - 2 > 2

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Questions 18

A and B are the stationary points of f(x).  

 

f(x) = 2x3 - x2 - 8x + 8

A = (-1,13)

B = (4/3,8/27)

 

Determine whether each stationary point is a maximum, minimum or point of inflexion.

Options:

A.

A is a maximum

B is a minimum

B.

A is a maximum

B is a point of inflexion

C.

A is a minimum

B is a maximum

D.

A is a point of inflexion

B is a minimum

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Questions 19

A function f(x) is known for two values:

 

f(2) = 8 and f(5) = 14.

 

Using linear interpolation estimate f(3).

A)

IFoA_CAA_M0 Question 19

B)

IFoA_CAA_M0 Question 19

C)

IFoA_CAA_M0 Question 19

D)

IFoA_CAA_M0 Question 19

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 24, 2024
Questions: 64

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