Earthquake hazard. Two adjoining regions are subject to
earthquakes at irregular intervals. The...

Question

Earthquake hazard. Two adjoining regions are subject to
earthquakes at irregular intervals. The first region experiences X1 earthquakes
over a period of time, and X2 earthquakes occur in the second region over the
same period, where X1 and X2 are random variables. It is estimated that the
joint distribution of earthquakes over the two regions is as follows:



Determine the probabilities pX1|X2 (x1
| x2) and the expected values E[X1 | X2].

Preeti · Accepted Answer

Solution:
Given 
Px1, x2 (x1,x2) = 
For x1 = 0, 1 ,2 
And for x2 = 2,3
For x1 =0 and x2 = 2
Px1, x2 (x1,x2) = 
Similarly 
Px1, x2 (x1,

Earthquake hazard. Two adjoining regions are subject to earthquakes at irregular intervals. The first region experiences X1 earthquakes over a period of time, and X2 earthquakes occur in the second...

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