Little stuck on a Poisson problem.
I remember something about the exponential distribution being the time between Poisson processes, but not sure how to apply it here.Sightings of a particular species of rare bird occur at a rate of 6 per year. Assume that sightings can be modelled by a Poisson process where time is measured in years and time 0 is the present time.
Let be the time from time 0 until the 1st sighting. What is the probability that is at most:
Would be distributed ?
Thanks in advance