Monday, 30 September 2013

A probability problem on limit theorem (!)

A probability problem on limit theorem (!)

Each of the 300 workers of a factory takes his lunch in one of the three
competing restaurants (equally likely, so with probability $1/3$). How
many seats should each restaurants have so that, on average, at most one
in 20 customers will remain unseated?
How can I approach this?
It is not clear to me why it is given as an excercise to the limit
theorems chapter.

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