A dashboard warning light is supposed to flash red if a car's oil pressure is too low. On a certain model, the probability of the light flashing when it should is 0.99. However, 2% of the time; it flashes for no apparent reason. If there is a 10% chance that the oil pressure really is low, what is the probability that a driver needs to be concerned if the warning light goes on?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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A dashboard warning light is supposed to flash red if a car's oil pressure is too low. On a certain model,
the probability of the light flashing when it should is 0.99. However, 2% of the time; it flashes for no
apparent reason. If there is a 10% chance that the oil pressure really is low, what is the probability that
a driver needs to be concerned if the warning light goes on?
Transcribed Image Text:A dashboard warning light is supposed to flash red if a car's oil pressure is too low. On a certain model, the probability of the light flashing when it should is 0.99. However, 2% of the time; it flashes for no apparent reason. If there is a 10% chance that the oil pressure really is low, what is the probability that a driver needs to be concerned if the warning light goes on?
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