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Three radar stations, operating independently, are set to detect any aircraft flying through a certain area....

Three radar stations, operating independently, are set to detect any aircraft flying through a certain area. Each station has a probability of 0.85 of detecting a plane in its area. If an aircraft enters the area,

a. what is the probability that it is detected by all three radar stations?

b. what is the probability that the plane is not detected by any of the radar stations?

c. what is the probability that the plane is detected by only one of the three radar stations?

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