he depth to which a pile can be driven without hitting the rock stratum is denoted as H (see figure below). For a certain construction site, suppose that this depth has a log-normal distribution with mean of 30 ft and coefficient of variation of 20%. In order to provide satisfactory support, a pile should be embedded 1 ft into the rock stratum. What is the probability that a pile of length 40 ft will not anchor satisfactorily into the rock?

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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The depth to which a pile can be driven without hitting the rock stratum is denoted as H (see
figure below). For a certain construction site, suppose that this depth has a log-normal
distribution
with mean of 30 ft and coefficient of variation of 20%. In order to provide
satisfactory support, a pile should be embedded 1 ft into the rock stratum. What is the
probability that a pile of length 40 ft will not anchor satisfactorily into the rock?

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