Problem 9 The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x) = 2/x³ for x > 1. Determine the following: 1. P(X<2) 2. P(X> 5) 3. P(4 < X<8) 4. P(X<4 or X > 8) 5. x such that P(X < x) = 0.95

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Problem 9
The diameter of a particle of contamination (in micrometers) is modeled with the
probability density function f(x) = 2/x³ for x > 1. Determine the following:
1. P(X<2)
2. P(X> 5)
3. P(4 < X < 8)
4. P(X< 4 or X > 8)
5. x such that P(X<x) = 0.95
Transcribed Image Text:Problem 9 The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x) = 2/x³ for x > 1. Determine the following: 1. P(X<2) 2. P(X> 5) 3. P(4 < X < 8) 4. P(X< 4 or X > 8) 5. x such that P(X<x) = 0.95
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