alamandrax's Journal: Random Probable Portents

Given that:

P[X=0]=0.0001
P[X=1]=0.0215
P[X=2]=0.1222
P[X=3]=0.8422

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X-> RV of no of hours of this torture before user kills self
X=0,1,2,3

Fx(X) = P[X|B]P[B] + P[X|A]P[A] + P[X|I]P[I]

B-> exponential RV - parameter 'alpha' = 0.9855

P[B=t] = probability that user is sane after t hours

A-> Poisson RV - parameter 'alpha' = 1

P[A=k] = probability that a k page assignment will be due in k^1/6 hours

I-> Gaussian RV - mean = 0.1442 variance = 0.0054

P[I = t] = probability that user has already gone insane after t hours

Please verify the values of P[X]

Also calculate using the Brandenburg - Leponchesky (\lAh\-\Pow\-\skee\) hypothesis and verify if the user is a citizen and records show his/her name correctly on all documents.