The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f (x) = Determine the following (round all of your answers to 3 decimal places): (a) P(X < 3) i (b) P(X>6) 0.027 (c) P(3 < X < 7) 0.091 (d) P(X <3 or X> 7) i ! (e) Determine x such that P(X < x) = 0.90. 3.162 ! - for x > 1.

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