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 < 5) i 0.960 (b) P(X > 8) i 0.016 (c) P(5 < X < 9) i (d) P(X < 5 or X > 9) i (e) Determine x such that P(X < x) = 0.75. i
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