Actually in this case the egg came first, i can't remember the article but the chicken is a cross breed between two species of birds that created the chicken... Egg first, still if you forget about that and look at this question from a philosophical view you can't really get an answer.
There can be no parent if it was not first a child, but there can be no child without a parent.
Impossible to figure out
Yes! It has been done before:
http://www.killermovies.com/forums/showthread.php?s=&threadid=299119&highlight=chicken+or+the+egg
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