Let the continuous random variable X denote the distance in micrometers from the start of a track on a magnetic disk until the first flaw. Historical data show that the distribution of X can be modeled by a pdf: 1 f (x) = x > 0 2000 2000 For what proportion of disks is the distance to the first flaw greater than 1,418 micrometers?

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Let the continuous random variable X denote the distance in
micrometers from the start of a track on a magnetic disk until the first
flaw. Historical data show that the distribution of X can be modeled by
a pdf:
1
f (x) =
x > 0
e
2000
2000
For what proportion of disks is the distance to the first flaw greater
than 1,418 micrometers?
Transcribed Image Text:Let the continuous random variable X denote the distance in micrometers from the start of a track on a magnetic disk until the first flaw. Historical data show that the distribution of X can be modeled by a pdf: 1 f (x) = x > 0 e 2000 2000 For what proportion of disks is the distance to the first flaw greater than 1,418 micrometers?
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