\\Juu. u; Luuu Us 6. Let (NUDQD be a Poisson process with rate A. Whenever an event occurs in the process, we drop a point in the square 5 := [[1, 1] x [0, 1] uniformly at random and independently of the Poisson process.1 Let {X(t));:0 be the process which only counts the events corresponding to the points which fall in region 8 {(3, y) : a: + y > 1}. Let (Y(t))t20 be the process which only counts the events corresponding to the points which fall in the complementary region S n {(3, y) : a: + y g 1}. 0 Find P(X(t) = 5). 0 Find P(X(t) Y(t) = 0). You can leave the answer as an innite series. . Find 11mm\