In a 1-hour output of a production line, Line 1 produces 2 defective and 3 non-defective items in their output box. Line 2 output box contains 7 defective and 5 non-defective items. If B1 is the event of randomly selecting the output of Line 1, and B2 is the event of randomly selecting the output of Line 2, having probabilities of 0.4 and 0.6 respectively. a. Draw the complete tree diagram indicating the probability values. b. What is the probability that the item is defective given that it came from Line 1? c. What is the probability that of randomly selecting 1 item from the two lines, the item is non- defective? d. What is the probability that the item is from Line 2 given that it is non-defective? e. Given that it is defective, what is the probability that it came from Line 1