A dashboard warning light should flash red when a car's oil level is too low. Suppose on a certain model of cars, given the oil level is low, the probability of the light flashing is 99%. Suppose also that 2% of the time, this light flashes for no reason. If in fact there is a 10% chance the oil level is actually low in this car, while a 90% chance the oil level is OK. What is the probability that the oil level is actually low when the light flashes?
A dashboard warning light should flash red when a car's oil level is too low. Suppose on a certain model of cars, given the oil level is low, the probability of the light flashing is 99%. Suppose also that 2% of the time, this light flashes for no reason. If in fact there is a 10% chance the oil level is actually low in this car, while a 90% chance the oil level is OK. What is the probability that the oil level is actually low when the light flashes?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:A dashboard warning light should flash red when a car's oil level is too low. Suppose on
a certain model of cars, given the oil level is low, the probability of the light flashing is 99%.
Suppose also that 2% of the time, this light flashes for no reason. If in fact there is a 10% chance
the oil level is actually low in this car, while a 90% chance the oil level is OK. What is the
probability that the oil level is actually low when the light flashes?
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