A mountain climber
A mountain climber plans to buy some rope to use as a lifeline. Which of the following would be the better choice? Explain your choice.
Rope A: Mean breaking strength:500lb; the standard deviation of 100lb
Rope B: Mean breaking strength: 500lb; the standard deviation of 10lb
Rope A: Mean breaking strength:500lb; the standard deviation of 100lb
Rope B: Mean breaking strength: 500lb; the standard deviation of 10lb
Correct answer:
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Dr Math
B - rope with lower std.deviation is better quality;
There is a lower probability that rope break, i.e. at 490 lb with a lower standard deviation than a rope with higher standard deviation.
https://www.hackmath.net/en/calculator/normal-distribution?mean=500&sd=10&above=&area=below&below=490&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate
https://www.hackmath.net/en/calculator/normal-distribution?mean=500&sd=100&above=&area=below&below=490&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate
There is a lower probability that rope break, i.e. at 490 lb with a lower standard deviation than a rope with higher standard deviation.
https://www.hackmath.net/en/calculator/normal-distribution?mean=500&sd=10&above=&area=below&below=490&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate
https://www.hackmath.net/en/calculator/normal-distribution?mean=500&sd=100&above=&area=below&below=490&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate
4 years ago 2 Likes
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