I am looking for some help solving a seemingly trivial problem. Any help is greatly appreciated.
If an event has a 60% probability of occurring at least once in a 2 hour period, what is the probability it will occur at least once for any other duration T. (T=.5 hours, T=4 hours, etc.)?
I thought that I could reach for the Poisson distribution/Poisson process to help me solve this problem. However, I get weird non-intuitive results. Can someone point me in the right direction with regard to solving this type of problem?