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.

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Chapter1: Combinatorial Analysis
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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?
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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