An analyst in a telecommunications firm estimates that the probability is 0.30 that a new company plans to offer competitive services within the next three years, and 0.70 that the firm does not. If the new firm has such plans, a new manufacturing facility would definitely be built. If the new firm does not have such plans, there is still a 60 percent chance that a new manufacturing facility would be built for other

(a) Using for the decision of the new firm to offer the telecommunications services and M for the addition of a new manufacturing facility. portray the possible events by means of a tree diagram. Suppose we observe that the new firm has in fact begun work on a new manufacturing facility. Given this information, what is the probability that the firm has decided to offer competitive telecommunications services