The diameter of a particle of contamination (in micrometers) is modeled with the probability density functionf(x) = - for x > 1. Determine the following (round all of your answers to 3 decimal places): Ca) P(X < 3) i ) Р(Х > 6) і c) P(6 < X < 10) i d) P(X < 6 or X > 10) e) Determine x such that P(X < x) = 0.95. i %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f (x) =
- for x > 1.
Determine the following (round all of your answers to 3 decimal places):
(a) P(X < 3) i
(b) P(X > 6) i
(c) P(6 < X < 10) i
(d) P(X < 6 or X > 10) i
(e) Determine x such that P(X < x) = 0.95. i
Transcribed Image Text:The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f (x) = - for x > 1. Determine the following (round all of your answers to 3 decimal places): (a) P(X < 3) i (b) P(X > 6) i (c) P(6 < X < 10) i (d) P(X < 6 or X > 10) i (e) Determine x such that P(X < x) = 0.95. i
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