Solution of problem N32 probability theory

32. The number of fragments falling into a small-sized target at a given position of the point of discontinuity is distributed according to Poisson´s law. The average density of the fragmentation field, in which the target is at a given position of the point of discontinuity, is equal to 3 oz./m2. The target area is S = 0.5 m2. To defeat the target, it is enough to hit at least one fragment. Find the probability of hitting the target at a given position of the break point