Depths of pits on a corroded steel surface are normally distributed with mean (822 mu mathrm{m}) and
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Depths of pits on a corroded steel surface are normally distributed with mean \(822 \mu \mathrm{m}\) and standard deviation \(29 \mu \mathrm{m}\).
a. Find the 10th percentile of pit depths.
b. A certain pit is \(780 \mu \mathrm{m}\) deep. What percentile is it on?
c. What proportion of pits have depths between 800 and \(830 \mu \mathrm{m}\) ?
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