Let {N(t),t ≥ 0} be a Poisson process with rate λ = 2. Suppose that all the events that occur in the intervals (2k, 2k + 1], where k ∈ {0,1,2,...}, are counted, whereas the probability of counting an event occurring in an interval of the form {2k+1,2k + 2] is equal to 1/2. Let N1(t) be the number of events counted in the interval [0,t].
