# A mountain climber

A mountain climber plans to buy some rope to use as lifeline. Which of the following would be the better choice? Explain your choice.

Rope A: Mean breaking strength:500lb; standard deviation of 100lb

Rope B: Mean breaking strength: 500lb; standard deviation of 10lb

Rope A: Mean breaking strength:500lb; standard deviation of 100lb

Rope B: Mean breaking strength: 500lb; standard deviation of 10lb

**Result****Showing 2 comments:**

**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

10 months ago 1 Like

**Math student**

which would you expect to be larger, the standard deviation of 5 random numbers picked from 1 to 47 in the california super lotto, or the standard deviation of 5 random numbers picked from 1 to 69 in the multi state powerball lottery?

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