Question 1

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

Options :

A : 10

B : 40

C : 64

D : 80

Answer: B

Question 2

Define the partial derivative of f(x, y) with respect to x.

Options :

A :

B :

C :

D :

Answer: B

Question 3

Describe the skewness of the following data:

Options :

A : Positively skewed

B : Symmetric

C : Negatively skewed

D : Inversely skewed

Answer: A

Question 4

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.

Options :

A :

B :

C :

D :

Answer: B

Question 5

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)

Answer: C

Free IFoA_CAA_M0 Mock Exam – Practice Online Confidently