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[Solved]: Student Name: Student ID: q, PROBLEM 13 The diamet
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(Solved): Student Name: Student ID: q, PROBLEM 13 The diameter of a particle of contamination (in micrometers) ...


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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