A die is rolled 100 times. Find the probability that the mean value would be between 3 and 3.5.
I've found the expected value which is 3.5 without idea what to do next.
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Glen_b
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1Thanks for adding the tag; Please read the [tag wiki info](http://stats.stackexchange.com/tags/self-study/info) for that tag. What do you know about distributions of means? – Glen_b Jun 05 '13 at 00:13
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Take a look [here](http://stats.stackexchange.com/a/3904/805) and [here](http://stats.stackexchange.com/a/22532/805) and [here](http://stats.stackexchange.com/a/49127/805); it might jog your memory. You would do better to read over your notes and text on this topic first, and then maybe [check the wikipedia article](http://en.wikipedia.org/wiki/Central_limit_theorem#Classical_CLT) on it. ... What can you do now? – Glen_b Jun 05 '13 at 02:28
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See specifically [here](http://stats.stackexchange.com/a/11338/805) and [here](http://stats.stackexchange.com/a/3615/805), which nearly answer the question for you. – Glen_b Jun 05 '13 at 03:37