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8. In Alberta, 62% of new drivers take a driver training course before completing their driver's test. Of the drivers that took training, 80% pass

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8. In Alberta, 62% of new drivers take a driver training course before completing their driver's test. Of the drivers that took training, 80% 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 occurrence of each event to 4 decimal places if necessary. (5 marks - 0.5 marks each) (trainingnpass) = vii (pass) = li (trainingnfail) = vili (training) = i (fail) = iv (no training) = it (pass) = v (no trainingnpass) = ix (fail) = vi (no trainingnfail) = x 1. ii. iii. iv. V. vi. Vii. viii. ix. X. b. Jim passed his driver's test. Use the values in your tree above to determine the probability that he took driver training, to the nearest whole percent? (1 mark)

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