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IFoA_CAA_M0 Exam Dumps : Module 0 - Entry Exam

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Module 0 - Entry Exam Questions and Answers

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Question 1

Consider a function f which has three variables, x1, x2 and x3.

 

Identify which of the following gives a correct definition of a partial derivative of the function f.

Options:

A.

The derivative of f with respect to either one of its variables or two of its variables, the other two variables or the third variable being treated as constant, respectively.

B.

The derivative of f with respect to one of its variables only, the other two variables being treated as constant.

C.

The derivative of f with respect to two of its variables, the third variable being treated as constant.

D.

The derivative of f with respect to all three of its variables.

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Question 2

Three light bulbs are chosen at random from 15 bulbs of which 5 are known to be defective.

 

Calculate the probability that exactly one of the three is defective.

A)

B)

C)

D)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

Question 3

For random variable X, use the following statistics to calculate its coefficient of skewness based on central moments.

E(X) = 3.940

E(X2) = 21.466

skew(X) = E[(X - μ)3] = 6.008

Options:

A.

-0.415

B.

0.060

C.

0.415

D.

0.768

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