PRMIA 8002 Exam Questions - Real Practice Questions for Guaranteed Success

Question 1

If a random variable X has a normal distribution with mean zero and variance 4, approximately what proportion of realizations of X should lie between -4 and +4?

A66.60%

B90%

C95%

D99%

Correct : C

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A66.60%

B90%

C95%

D99%

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Question 2

Let X be a random variable distributed normally with mean 0 and standard deviation 1. What is the expected value of exp(X)?

AE(exp(X)) = 1.6487

BE(exp(X)) = 1

CE(exp(X)) = 2.7183

DE(exp(X)) = 0.6065

Correct : A

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AE(exp(X)) = 1.6487

BE(exp(X)) = 1

CE(exp(X)) = 2.7183

DE(exp(X)) = 0.6065

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Question 3

Consider the following distribution data for a random variable X: What is the mean and variance of X?

A3.6 and 7.15

B3.4 and 3.84

C3.5 and 3.45

DNone of these

Correct : D

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A3.6 and 7.15

B3.4 and 3.84

C3.5 and 3.45

DNone of these

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Question 4

Concerning a standard normal distribution and a Student's t distribution (with more than four degrees of freedom), which of the following is true?

AThe distributions have the same kurtosis.

BThe normal distribution has higher kurtosis than the t distribution.

CThe normal distribution has lower kurtosis than the t distribution.

DWhich has the higher kurtosis depends on the degrees of freedom of the t distribution.

Correct : C

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AThe distributions have the same kurtosis.

BThe normal distribution has higher kurtosis than the t distribution.

CThe normal distribution has lower kurtosis than the t distribution.

DWhich has the higher kurtosis depends on the degrees of freedom of the t distribution.

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Question 5

The gradient of a smooth function is

Aa vector that shows the direction of fastest change of a function

Bmatrix of second partial derivatives of a function

Cinfinite at a maximum point

Da matrix containing the function's second partial derivatives

Correct : A

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Aa vector that shows the direction of fastest change of a function

Bmatrix of second partial derivatives of a function

Cinfinite at a maximum point

Da matrix containing the function's second partial derivatives

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Master PRMIA 8002 Exam with Reliable Practice Questions

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