Sixty percent of new drivers have had driver education. During their first year, new drivers without driver education have a probability of 0.08 of having an accident, but new drivers with driver education have only a 0.05 probability of an accident. What is the probability a new driver has had driver education, given that the driver has had no accident the first year?
Education | No Education | Total | |
Accident | 0.05 * 60 = 3 | 0.08 * 40 = 3.2 | 6.2 |
No Accident | 60 - 3 = 57 | 40 - 3.2 = 36.8 | 93.8 |
Total | 60 | 40 | 100 |
P(Education|No Accident) = (57/100)/(93.8/100) = 0.6077
Sixty percent of new drivers have had driver education. During their first year, new drivers without...
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