Problem Solving (PS) | At an automotive plant, 2 % of cars produced have faulty braking syst

At an automotive plant, 2 % of cars produced have faulty braking systems. Each automobile undergoes a braking system check. When a car has a faulty braking system, this check correctly identifies the fault 90 % of the time. When a car does not have a faulty braking system, the check incorrectly identifies the system as faulty 5 % of the time. If the check reports that the braking system of a certain car is faulty, what is the probability that the braking system of this car is actually faulty?

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