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IFoA IFoA_CAA_M0 Module 0 - Entry Exam Exam Practice Test

Demo: 9 questions
Total 64 questions

Module 0 - Entry Exam Questions and Answers

Question 1

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.

Question 2

Let A = 

Let B = 

 

Calculate   

Options:

A.

986

B.

1,224

C.

2,056

D.

3,286

Question 3

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

Question 4

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

Question 5

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

Question 6

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)

Question 7

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

Question 8

Identify which of the following involves weak inequality.

A)

B)

C)

D)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

Question 9

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

Demo: 9 questions
Total 64 questions