Question

Each evening, two friends Didi and Gogo, come to a country road to wait for their friend, Monsieur G. They have been doing this for countless evenings and arise each day at 8am in anticipation of encountering G that evening. They estimate that G appears to them at a rate of 1 appearance per 1000 days since they have been waiting for him for 1000 days and he has not yet appeared. Assuming that G’s appearances follow a Poisson process, determine the probability, relative to 8am today, that G will appear that evening (for the first time) between 8pm and 11pm.

Answer 1

Here is the solution to the question :