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8007 Exam Dumps : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

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Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Questions and Answers

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Question 1

Let N(.) denote the cumulative distribution function of the standard normal probability distribution, and N' its derivative. Which of the following is false?

Options:

A.

N(0) = 0.5

B.

N'(0) ≥ 0

C.

N(x) → 0 as x → ∞

D.

N'(x) → 0 as x → ∞

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Question 2

Find the first-order Taylor approximation p(x) for the function: at the point .

Options:

A.

-x

B.

-x+1

C.

x-1

D.

x+1

Question 3

Suppose a discrete random variable can take on the values -1, 0 and 1 each with a probability of 1/3. Then the mean and variance of the variable is

Options:

A.

mean is 0, variance is 2/3

B.

mean is 0, variance is 1/3

C.

mean is 0, variance is 1/2

D.

mean is 1/3, variance is 1/3

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