If each strand in a rope has a breaking strength with mean, Basic Statistics

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If each strand in a rope has a breaking strength with mean

If each strand in a rope has a breaking strength, with mean 20 pounds and standard deviation 2 pounds, and the breaking strength of a rope is the sum of the (independent) breaking strengths of all the strands, what is the probability that a rope made up of 64 strands will support a weight of (i) 1280 pounds, (ii) 1240 pounds.

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