Question

the right hand "tail" of the standard normal curve can be defined as part of it that lies at least two standard deviations to the right of the mean. according to the empirical rule, approximately what percentage of the area under the whole curve is in the right hand tail?

Answer 1

The empirical rule states that 95% of the data points lie within plus and minus 2 standard deviations from the mean. Therefore 100 - 95 = 5% of the data points lie in the upper and lower tails. The normal distribution is symmetrical about the mean, so the percentage of data points in the upper tail must be:
\[\frac{5}{2}=??\%\]

Answer 2

2.5

Answer 3

Good :)
2.5% is correct.