A bombing plane flies directly above a railroad track. Assume that if a bomb falls within 40 feet of the track, the track will be sufficiently damaged so that traffic will be disrupted. Let X denote the perpendicular distance from the track that a bomb falls. Assume that f (x) = 100-z 5000 0 < x < 100. a. Find the probability that a bomb will disrupt traffic. b. If the plane can carry three bombs and uses all three, what is the probability that traffic will be disrupted?

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