If the level of infection of a tree is x , then each treatment will independently be successful with probability 1 − x . consider a tree whose infection level is assumed to be the value of a uniform (0, 1) random variable. (a) find the probability that a single treatment will result in a cure. (b) find the probability that the first two treatments are unsuccessful. (c) find the probability it will take n treatments for the tree to be cured.