A warning light in the cockpit of a plane is supposed to indicate when a hydraul
ID: 3377915 • Letter: A
Question
A warning light in the cockpit of a plane is supposed to indicate when a hydraulic pump is inoperative. If the pump is inoperative, then there is a probability of 0.992 that the warning light will come on. However, there is a probability of 0.003 that the warning light will come on even when the pump is operating correctly. Furthermore, there is a probability of 0.996 that the pump is operating correctly. Use 5 decimal places.
(a) What is the probability warning light comes on?
(b) If the warning light comes on, what is the probability that the pump really is inoperative?
Explanation / Answer
A warning light in the cockpit of a plane is supposed to indicate when a hydraul
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