Consider a Poisson process with intensity 2 and a union of t
Consider a Poisson process with intensity 2 and a union of two disjoint time intervals I = [3, 4] [6, 8]. Give formulas for the probabilities of the following events:
(a) There are at least two arrivals in I.
(b) There are precisely three arrivals in I.
(c) There are at most four arrivals in I.
Solution
![Consider a Poisson process with intensity 2 and a union of two disjoint time intervals I = [3, 4] [6, 8]. Give formulas for the probabilities of the following e Consider a Poisson process with intensity 2 and a union of two disjoint time intervals I = [3, 4] [6, 8]. Give formulas for the probabilities of the following e](/WebImages/9/consider-a-poisson-process-with-intensity-2-and-a-union-of-t-1000297-1761515197-0.webp)