A rule of thumb is that 5 of the normal distribution lies ou

A rule of thumb is that 5% of the normal distribution lies outside an interval approximately plusminus 2s about the mean. To what extent is this true, i.e., what is the probability of the two tails? Where are the limits corresponding to 1%, 0.5%, and 0.1% in the upper tail? What is the position of the first/third quartile measured in standard deviation units?

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 A rule of thumb is that 5% of the normal distribution lies outside an interval approximately plusminus 2s about the mean. To what extent is this true, i.e., wh

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