Question: Heights of women have a bell-shaped distribution with a mean of 163cm and a standard deviation of 5cm. Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 3 standard deviations of the mean? What are the minimum and the maximum heights that are within 3 standard deviations of the mean?
a) At least _____ % of women have heights within 3 standard deviations of 163cm. (Round to the nearest Percent)
b) The minimum height that is within 3 standard deviations of the mean is _____ cm.
c) The maximum height that is within 3 standard deviations of the mean is _____ cm.