The tensile strength of paper is modeled by a normal distribution with a mean of 36 pounds per square inch and a standard deviation of 2 pounds per square inch. (a) What is the probability that the strength of a sample is less than 40 pounds per square inch? (b) If the specifications require the tensile strength to exceed 30 pounds per square inch, what proportion of the sample is scrapped?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The tensile strength of paper is modeled by a normal distribution with a mean of 36
pounds per square inch and a standard deviation of 2 pounds per square inch. (a) What
is the probability that the strength of a sample is less than 40 pounds per square inch?
(b) If the specifications require the tensile strength to exceed 30 pounds per square inch,
what proportion of the sample is scrapped?
Transcribed Image Text:The tensile strength of paper is modeled by a normal distribution with a mean of 36 pounds per square inch and a standard deviation of 2 pounds per square inch. (a) What is the probability that the strength of a sample is less than 40 pounds per square inch? (b) If the specifications require the tensile strength to exceed 30 pounds per square inch, what proportion of the sample is scrapped?
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