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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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?
Transcribed Image Text: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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