4.14 Poisson process probabilities Consider a Poisson process with rate : >0. (a) Find the probability that there is exa
Posted: Mon Nov 15, 2021 12:39 pm
4.14 Poisson process probabilities Consider a Poisson process with rate : >0. (a) Find the probability that there is exactly) one count in each of the three intervals [0,1],[1,2], and [2,3]. (b) Find the probability that there are two counts in the interval [0, 2) and two counts in the interval (1,3). (Note: your answer to part (b) should be larger than your answer to part (a)). (c) Find the probability that there are two counts in the interval [1,2], given that there are two counts in the interval (0.2) and two counts in the the interval (1.3).