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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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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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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,