Student Name: Student ID: q, PROBLEM 13 The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)=(2)/(x^(3)) for x1. Determine the following: a) P(x8 [2 points] c) x such that P(x) [3 points] (d) Determine the cumulative distribution function. [3 points] Pag

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Student Name: Student ID: q, PROBLEM 13 The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)=(2)/(x^(3)) for x>1. Determine the following: a) P(x<2) [2 points] b)  or x>8 [2 points] c) x such that P(x) [3 points] (d) Determine the cumulative distribution function. [3 points] Page 8 of 8

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