A certain characteristic in a large population has a distribution that is symmetric about the mean m. 72 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.6 years and the standard deviation is 2.6 years, what percent of the distribution has more than 10.2 years as a shelf’s average life?	Choose one:
A) 17% B) 16% C) 15% D) 14% E) 13%
Average = 7.6   SD = 2.6   7.6 - 2.6 &lt; 72% of distribution &lt; 7.6 + 2.6   5.0 &lt; 72% of distribution &lt; 10.2   28% is outside this range.   Given: Distribution is symmetric. So 14% of distribution is less than 5.0 and the other 14% of distribution is greater than 10.2.   Answer: 14%
<result>D</result>
A certain characteristic in a large population has a distribution that is symmetric about the mean m. 72 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 7.6 years and the standard deviation is 2.6 years, what percent of the distribution has more than 10.2 years as a shelf’s average life?