(a) Steel used for water pipelines is coated on the inside with cement mortar to prevent corrosion. In an experiment of the mortar coatings of a pipeline used in a water project, the mortar thickness was measured for a very large number of specimens. The mean and standard deviation were found to be 0.62 inch and 0.13 inch, respectively, and the thickness was found to be normally distributed. (ii) What is the thickness of the mortar coating such that only 1% of the thickness of all pipelines exceed this thickness?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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(a) Steel used for water pipelines is coated on the inside with cement mortar to
prevent corrosion. In an experiment of the mortar coatings of a pipeline used in a
water project, the mortar thickness was measured for a very large number of
specimens. The mean and standard deviation were found to be 0.62 inch and 0.13
inch, respectively, and the thickness was found to be normally distributed.
(ii) What is the thickness of the mortar coating such that only 1% of the thickness
of all pipelines exceed this thickness?
Transcribed Image Text:(a) Steel used for water pipelines is coated on the inside with cement mortar to prevent corrosion. In an experiment of the mortar coatings of a pipeline used in a water project, the mortar thickness was measured for a very large number of specimens. The mean and standard deviation were found to be 0.62 inch and 0.13 inch, respectively, and the thickness was found to be normally distributed. (ii) What is the thickness of the mortar coating such that only 1% of the thickness of all pipelines exceed this thickness?
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