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Based on the Normal Distribution, what statement is wrong. If we believe that monthly returns are Normally distributed with a standard deviation of 5 %

Based on the Normal Distribution, what statement is wrong.
If we believe that monthly returns are Normally distributed with a standard deviation of 5%, a monthly return higher than 15% or lower than -15%(a 3-sigma event) should happen approximately only once every 25 years.
The index returns of the last eight years suggest that stock returns do not perfectly fit the Normal distribution. There have been too many outliers.
If we believe that monthly returns are Normally distributed with a standard deviation of 5%, a monthly return higher than 10% should happen approximately once every year, on average
If we believe that monthly returns are Normally distributed with a standard deviation of 5%, a monthly return lower than -5% should happen approximately once every 6 months, on average.
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