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I have a date at a restaurant. On average, people are on time for dates with...

I have a date at a restaurant. On average, people are on time for dates with variance 5 minutes. How much should I arrive earlier to be sure at 95% that I am there before my date?
Hint: Model it as a Gaussian variable. Use calculators of the error function that you can find on the web to compute the appropriate quantile after an adequate change of variables.

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