Question 1
Apply the 68-95-99.7 rule to answer the question.
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 310 hours and a standard deviation of 9 hours. What percentage of the bulbs have lifetimes that lie within 2 standard deviations to either side of the mean?
◦ 95%
◦ 99.7%
◦ 68%
◦ 98%
Question 2
Apply the 68-95-99.7 rule to answer the question.
The systolic blood pressure of a group of 18-year-old women is normally distributed with a mean of
![](data:image/png;base64, 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)
and a standard deviation of 13 mmHg. What percentage of 18-year-old women in this group have a systolic blood pressure that lies within 3 standard deviations to either side of the mean?
◦ 95%
◦ 34%
◦ 68%
◦ 99.7%