Question 2: [15 marks] Cars After a minor collision, a driver must take his car to one of two body shops in the area. Consider the following events. D=driver takes his car to shop D. L=driver takes his car to shop L. T=the work is complete on time. B=the cost is less than or equal to the estimate (under budget). The modified tree diagram provides a visualization of the relationships among these events. a. [4 marks] Complete the tree diagram by lling in the missing path probabilities. Show your work. b. [4 marks] What is the probability that the car is repaired under budget, on time, and with company D? c. [ 4 marks] What is the probability that the cost of the repair exceeds the estimate? (1. [3 marks] What is the probability that the car is repaired under budget, given that it is ready on time? 0.455 B 0.226 T D 0.634 B' 0.378 B T B' 0.895 B T L 0.844 B' 0.995 B B