Chapters: Normal and Exponential random variables. Q: Climbing rope will break if pulled hard enough. Experiments show that 10.5 mm Dynamic rope has a mean breaking point of 5036 lbs with a standard deviation of 122 lbs. Assume breaking points of rope are normally distributed. a. What proportion of ropes will break with at least 5000 lbs of load? b. At what load will 95% of all ropes break?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Chapters: Normal and Exponential random variables.

 

Q: Climbing rope will break if pulled hard enough. Experiments show that 10.5 mm Dynamic rope has a mean breaking point of 5036 lbs with a standard deviation of 122 lbs. Assume breaking points of rope are normally distributed.

a. What proportion of ropes will break with at least 5000 lbs of load?

 

b. At what load will 95% of all ropes break?

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