A fiber-spinning process currently produces a fiber whose strength is normally distributed. The minimum acceptable strength is 70N/m². It is known that 15% of the fibers produced by current method have strengths less than 70.85 N/m² and that 10% of the fibers have strength greater than 80.13N/m².
A fiber-spinning process currently produces a fiber whose strength is normally distributed. The minimum acceptable strength is 70N/m². It is known that 15% of the fibers produced by current method have strengths less than 70.85 N/m² and that 10% of the fibers have strength greater than 80.13N/m².
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A fiber-spinning process currently produces a fiber whose strength is normally distributed. The minimum
acceptable strength is 70N/m². It is known that 15% of the fibers produced by current method have
strengths less than 70.85N/m² and that 10% of the fibers have strength greater than 80.13N/m².
a. Find the mean and standard deviation of the strengths.
b. What proportion of the fibers meet the strength specification?
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