Question 1076301: The police department is keeping track of distracted drivers and accidents. They have found that if a driver is distracted, the driver has a 30% chance of being in an accident. If the driver is not distracted, the driver has a 2% chance of being in an accident. The probability of a driver being distracted is 10%. If needed, create a tree diagram on a separate piece of paper. Then use the diagram to answer the questions. a. What is the probability a driver will be in an accident? Explain. b. What is the probability that a driver who was in an accident was distracted? Explain
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! ======D=======ND====Total
A------30----------18------48
NA-----70---------882----952
Total==100======900===1000
Probability a driver will be in an accident is 48/1000 or 4.8%. This can be read right off the table, which has 9 cells. We get the bottom three from the 10% probability a driver is distracted, and we get the top left from the distracted-accident, the center from non distracted-accident. The rest can be filled in
If the driver was in an accident, the probability that they were distracted is 30/48 or 0.625.
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