I have managed to solve (c).
Here is the equation i got for (e):
g(t) = (3 + 6t)e^-2t - 0.0513 = 0
g'(t) = -12te^(-2t)
tn+1 = tn - [(3 + 6tn)e^-2tn - 0.0513]/-12tne^(-2tn)
I am not sure how to proceed with NR to get the time of 95% certain?
Both.
I know the probability of extinction by each generation can be calculated using Newton_Raphson method given p.g.f. and finding p and q, but I am not sure how to apply to this question.
Homework Statement
The rate of occurrence of events in a non-homogeneous Poisson process is given by: λ(t)=12t e-2t.
(c) Find the p.d.f. of the time until the first event occurs after time t = 1.
(e) After what time is it 95% certain that no further events will occur?
Homework Equations...