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?
The Attempt at a Solution
After using integration by parts, I found μ(t) = -3e-2t(2t+1) to solve other parts of this question. I know part (e) requires the use of newton-raphson method but I have no idea how to go about. Any help will really be appreciated, thanks.