You have a fair coin. You toss the coin n times. Let X be the portion of

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You have a fair coin. You toss the coin n times. Let X be the portion of times that you observe heads. How large n has to be so that you are 95% sure that 0.45 ≤ X ≤ 0.55? In other words, how large n has to be so thatP(0.45 X 0.55) .95 ?

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