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March 2006 Q6

M

mcallist

Member
Hi all,
I was wondering if someone could please help me with this. I wasn't able to fully grasp it from the examiner's report solution.

Here's the question.
Many thanks,
Tom

One variable of interest, T, in the description of a physical process can be modelled as T=XY where X and Y are random variables such that
X ~ N(200, 100) and Y depends on X in such a way that Y|X=x ~(x,1)

Simulate two observations of T, using the following pairs of random numbers (observations of a uniform (0,1) random variable), explaining your method and calculate clearly:

Random numbers
0.5714, 0.8238
0.3192, 0.6844
 
If you could show your working then I can help with what it is that's causing you grief.
 
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