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...

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Extracted 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.">