Let be a Poisson process with intensity Since the mean of the process is we can conclude that the Poisson process is not weakly stationary. Is the process weakly stationary? In a Poisson process...

Let

be a Poisson process with intensity

Since the mean of the process is

we can conclude that the Poisson process is not weakly stationary. Is the process

weakly stationary?

In a Poisson process one has observed four events in the interval (0,4]. Compute the probability that two occurred in (0,1] and the remaining two in (1,2].