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The fiber-spinning process currently produces a fiber whose strength is normally distributed with a mean of...

The fiber-spinning process currently produces a fiber whose strength is normally distributed with a mean of 75 N/m2 and a standard deviation of 8 N/m2.

a. Find the probability that the strength of a randomly chosen fiber has a strength greater than 80 N/m2

b. Find the probability that the strength of a randomly chosen fiber has a strength between 71 N/m2 and 86 N/m2

c. Find the top 15% strongest fibers

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