A bombing plane flies directly above a railroad track. Assume that if a large (small) bomb falls within 40(15) feet of the track, the track will be sufficiently damaged so that the traffic will be disrupted. Let X denote the perpendicular distance from the track that a bomb falls. Assume that fx(x) = 100-x 5000 0 < x < 100 Find the probability that a large bomb will disrupt traffic. If the plane can carry three large (eight small) bombs and uses all three(eight), what is the probability that traffic will be disrupted. Find Fx (x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Engineering Data Analysis

A bombing plane flies directly above a railroad track. Assume that if a large (small)
bomb falls within 40(15) feet of the track, the track will be sufficiently damaged so
that the traffic will be disrupted. Let X denote the perpendicular distance from the
track that a bomb falls. Assume that
fx(x) =
100-x
5000
0 < x < 100
Find the probability that a large bomb will disrupt traffic.
If the plane can carry three large (eight small) bombs and uses all three(eight), what
is the probability that traffic will be disrupted.
Find Fx (x)
Transcribed Image Text:A bombing plane flies directly above a railroad track. Assume that if a large (small) bomb falls within 40(15) feet of the track, the track will be sufficiently damaged so that the traffic will be disrupted. Let X denote the perpendicular distance from the track that a bomb falls. Assume that fx(x) = 100-x 5000 0 < x < 100 Find the probability that a large bomb will disrupt traffic. If the plane can carry three large (eight small) bombs and uses all three(eight), what is the probability that traffic will be disrupted. Find Fx (x)
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