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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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):
2
x3
(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) |
(e) Determine x such that P(X < x) = 0.90 .
3.162
for x > 1.
Transcribed Image Text: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): 2 x3 (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) | (e) Determine x such that P(X < x) = 0.90 . 3.162 for x > 1.
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