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Probability Question with unknown distribution.

A factory produces nails that are packed in bags. The number of nails in a bag is a random variable with mean 5000, and standard deviation 10. The distribution is not know. Find an upper bound on the probability that the number of nails differs by more than 50 from the upper bound.

Any help would be great,
Thanks
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Belfast95
Statistics is just horrible! It might be something to do with normal distribution :smile:
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DPLSK
14
tom29whu
A factory produces nails that are packed in bags. The number of nails in a bag is a random variable with mean 5000, and standard deviation 10. The distribution is not known. Find an upper bound on the probability that the number of nails differs by more than 50 from the upper bound.


I believe this is a mistake when you have typed up the question. This is because given that the distribution is unknown, I do not see how you can calculate the upper bound of the value(s) that the random variable can take.

If you meant the mean instead then this is an application of Chebychev's inequality. All it remains to do is to choose the right value of k to get it to work.

Regards

Darren

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