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IFoA_CAA_M0 Module 0 - Entry Exam Questions and Answers

Questions 4

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

 

 

 

 Calculate: P(x ≥ 1.5)

Options:

A.

0.164

B.

0.250

C.

0.320

D.

0.484

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Questions 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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Questions 6

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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Questions 7

The table below shows the distribution of the number of people in each household in a village.

 

 

Determine which of the following inequalities is true for the number of people living in a house.

Options:

A.

Mode < Median < Mean

B.

Mode < Mean < Median

C.

Median < Mean < Mode

D.

Median < Mode < Mean

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Questions 8

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 9

State what the limit of a function with input variable x represents.

Options:

A.

The limit represents the smallest value that the function can take over its considered range.

B.

The limit represents the behaviour of a function as x approaches a certain value.

C.

The limit represents the value of x for which the function is incalculable.

D.

The limit represents the value of the function when x=0.

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Exam Code: IFoA_CAA_M0
Exam Name: Module 0 - Entry Exam
Last Update: Dec 27, 2024
Questions: 64
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