A steel cable consists of eight high-strength steel strands. The strength of each strand can be modeled by a lognormal random variable with a mean value of 50 kips and a coefficient of variation of 10%. What is the probability that the weakest strand will have a strength less than 40 kips? Compute the same probability if the cable consists of 16, 32 and 64 strands.

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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A steel cable consists of eight high-strength steel strands. The strength of each
strand can be modeled by a lognormal random variable with a mean value of 50 kips
and a coefficient of variation of 10%. What is the probability that the weakest strand
will have a strength less than 40 kips? Compute the same probability if the cable
consists of 16, 32 and 64 strands.
Transcribed Image Text:A steel cable consists of eight high-strength steel strands. The strength of each strand can be modeled by a lognormal random variable with a mean value of 50 kips and a coefficient of variation of 10%. What is the probability that the weakest strand will have a strength less than 40 kips? Compute the same probability if the cable consists of 16, 32 and 64 strands.
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