5. In Alberta, 55% of new drivers take a driver training course before completing their driver's test. Of the drivers that took training, 75% pass their driver's test. Of the drivers that did not take training, 58% pass their driver's test. a. Complete the following tree diagram to represent the given information, Express the probability of each event to 4 decimal places if necessary. (5 marks - 0.5 marks each) P( trainingnpass) = vii P(pass) * i P(trainingnfail) = vili P(training) = 1 P(fail) = iv P(no training) * # Pipass) = v P(no trainingnpass) = ix P(fail) * vi P(no trainingnfail) = x 11 111 iV V VI VI1 Vill 1X X b. Jim passed his driver's test. Use the values in your probability tree above to determine the probability that he took driver training, to the nearest whole percent? (1 mark)