The diameter of a particle of contamination (in micrometers) is modeled with the probability density function 𝑓(

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answerhappygod
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The diameter of a particle of contamination (in micrometers) is modeled with the probability density function 𝑓(

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The diameter of a particle of contamination (in micrometers) is
modeled with the probability density function 𝑓(π‘₯) = 2/π‘₯^3 , for
x>1.
Determine the following (round all of your answers to 3 decimal
places):
a. 𝑃(𝑋 < 6)
b. 𝑃(𝑋 > 9)
c. 𝑃(8 < 𝑋 < 12)
d. 𝑃(𝑋 < 8 π‘œπ‘Ÿ 𝑋 > 12)
e. Determine x, such that 𝑃(𝑋 < π‘₯) = 0.75
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