In the following let Ci represent the event that i corners are detected, OB, OC, OS, represent the events that the real object is a box, cylinder, or sphere, respectively. a) Determine the probability of an object being of each of the different types if 4 corners are found and all objects are equally likely to be the object presented. (20 points) b) Determine the probability of an object being of each of the different types if 2 corners are found when the probability of presenting box is 0.4, Cylinder is 0.35 and Sphere is 0.25. (20 points)