<prompt> Answer this question truthfullyWhat are the percentages of a sample that lie within 1, 2, and 3 standard deviations of the mean?  <response>: <reason> In a normal distribution, approximately 68 of the sample lies within 1 standard deviation of the mean, 95 lies within 2 standard deviations of the mean, and 99.7 lies within 3 standard deviations of the mean. 