(d) P(X < 8 or X > 12) i (e) Determine x such that P(X

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d and e
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):
(a) P(X < 2) i
0.75
(b) P(X > 5)
(c) P(8 < X < 12) i
(d) P(X < 8 or X > 12)
(e) Determinex such that P(X < x) = 0.95.
Transcribed Image Text: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): (a) P(X < 2) i 0.75 (b) P(X > 5) (c) P(8 < X < 12) i (d) P(X < 8 or X > 12) (e) Determinex such that P(X < x) = 0.95.
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