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To prove this we must use a neat mathematical technique called induction.

Induction works in ...

X~Binomial (n,p) with n= fixed number of independent trials and p= probability of a trail succeeding.

X ~Binomial can be approximated to Y~ Normal  if:

1)      The number of trials, n,...

I'm going to show the answer to this question in two different ways. - The first is perhaps more obvious but the second is much more elegant.Taylor series expansion: Using Taylor expansion (or your trusty...