3. (5 marks] In a certain country, it is estimated that 93% of drivers wear their seatbelts when operating a motor vehic

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3 5 Marks In A Certain Country It Is Estimated That 93 Of Drivers Wear Their Seatbelts When Operating A Motor Vehic 1 (47.34 KiB) Viewed 41 times

3. (5 marks] In a certain country, it is estimated that 93% of drivers wear their seatbelts when operating a motor vehicle. If a driver is wearing their seatbelt, then there is only a 1% chance they will die in a motor vehicle accident. If a driver is not wearing their seatbelt, then there is a 4% chance they will die in a motor vehicle accident. Let W represent the event that a drive is wearing their seatbelt. Let D represent the event that a driver dies in a motor vehicle accident. In each part to this question, you must first express each probability in terms of the events W and D, and justify any computation through the use of an explicitly stated formula. (a) Express each of the three probabilities listed above as the probability of an event involving Wand/or D. (b) What is the probability that a motor vehicle accident results in the driver dying? (c) If a driver dies in a motor vehicle accident, what is the probability they were wearing a seatbelt?