PRMIA Exam 8002 Topic 3 Question 78 Discussion

Actual exam question for PRMIA's Mathematical Foundations of Risk Measurement :II exam

Question #: 78
Topic #: 3

What can be said about observations of random variables that are i.i.d. a normally distributed?

AThe estimated mean divided by the estimated variance has a t-distribution

BThe estimated mean divided by the estimated variance has a Chi2-distribution

CThe estimated mean divided by the estimated standard deviation has a t-distribution

DThe estimated mean divided by the estimated standard deviation has a Chi2-distribution

Show Suggested Answer

Suggested Answer: C

by Mindy at Apr 30, 2024, 07:40 AM

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2 months ago

Thanks! C does seem like the correct choice.

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2 months ago

I agree. Dividing by variance would be Chi2, but standard deviation is t-distribution.

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2 months ago

Yeah, option C makes sense. It's like the basis of Student's t-test.

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2 months ago

I think the answer is C. T-distribution when dividing by standard deviation.

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3 months ago

Independent and identically distributed. Common in statistics.

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4 months ago

This question is confusing. What do you think they mean by i.i.d.?

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