9. Assume that a person comes to a movie on time or late. If a person comes the movie on time, there is 80% chance that he will like the movie. If he comes late, there is 40% chance that he will not like the movie. If 30% people are late based on History; a. What is the probability that a randomly selected person liked the movie? b. What is the probability that a randomly selected person was late and did not like the movie? c. What is the probability that a randomly selected person was late given that he liked the movie