Newspaper article frequently cite the fact that in any one year a small percentage (say 10%) of all drivers are responsible for all automobile accidents. The conclusion is often reached that if only we could single out these accident-prone drivers and either retrain them or remove them from the reads we could drastically reduce auto accidents. You are told that of 100,000 drivers who are involved in one or more accidents in one year, 11,000 of them were involved on one or more accidents the next year
Given the above information complete the entries in the joint probability table below
Year year Accident No Accident Marginal probability
Of event in prior year
No Accident .90
Marginal probability of event in second year .10 .90 1.00
b) Is searching for accident-prone drivers is an effective way to reduce auto accidents? Explain
Row 1, column 1:
probability that a driver involved in one or more accident this year will have the chance of accident in next year
p(AA) = 0.1*(11000/100000) = 0.1*0.11= 0.011 --Answer
Row 1, column 2:
probability that a driver involved in one or more accident this year will not be involved ...
This shows how to complete a joint probability table. The marginal probability of event in second year are found.