Exercise 4. An object recognition system is applied to a scene in which 40% of the objects are forks, 25% are knives and 35% are spoons. If the object is a fork there is a 35% chance that it will be recognised correctly by the system, 70% chance if it is a knife, an 25% if it is a spoon. Suppose an object is selected at random from the scene: a) find the probability that the object was correctly recognised b) If the object was correctly recognised, find the probability that it is: i) a fork ii) a knife iii) a spoon