Coin count past two sigma

A fair coin is flipped 100 times. Using the normal approximation and the 68–95–99.7 rule, approximately what percent of the time do you get more than 60 heads? Give a percent to one decimal.

Show hints (2)+
  1. Find the mean and the sd np(1p)\sqrt{np(1-p)}; where does 6060 fall?
  2. The 95%95\% band is two-sided - one tail is half the leftover.

Answer

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2.5 (± 1)

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Asked at: Timed Mental-Math & Sequences, ETF Market-Making

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