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 < 3) 0.889 (b) P(X > 6) | 0.028 (c) P(6 < X < 10) 0.018

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Chapter1: Combinatorial Analysis
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The diameter of a particle of contamination (in micrometers) is modeled with the probability density functionf(x) =
2
-for x > 1.
Determine the following (round all of your answers to 3 decimal places):
(а) Р(X < 3)
0.889
(b) Р(Х > 6)
0.028
(c) P(6 < X < 10) 0.018
(d) P(X < 6 or X > 10)
0.982
(e) Determine.x such that P(X < x) = 0.95.
i
0.414
Transcribed Image Text:The diameter of a particle of contamination (in micrometers) is modeled with the probability density functionf(x) = 2 -for x > 1. Determine the following (round all of your answers to 3 decimal places): (а) Р(X < 3) 0.889 (b) Р(Х > 6) 0.028 (c) P(6 < X < 10) 0.018 (d) P(X < 6 or X > 10) 0.982 (e) Determine.x such that P(X < x) = 0.95. i 0.414
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