The right-hand "tail of the standard normal curve can be defined as the part
that lies at least 2 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? Round your answer to the
nearest tenth.
O A. 0.1%
O B. 2.5%
O C. 16%
O D. 5%

According to the empirical rule, the percentage of values that lie in the interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here, mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].

The right-hand "tail of the standard normal curve can be defined as the part that lies at least 2 standard deviations to the right of the mean.

For two standard deviations the percentage of value is 95%. The value at the right hand of the mean,

[tex]100-95=5\%[/tex]

For the two tail the value will be,

[tex]\dfrac{5}{2}=2.5\%[/tex]

According to the empirical rule, the percentage by which the area under the whole curve is in the right-hand tail is 2.5%.

Learn more about the emprical rule here;

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