Question: HEIGHTS OF WOMEN The heights of 4000 women who participated in a survey were found to be normally distributed with a mean of 64.5 in. and a standard deviation of 2.5 in. Use Chebychev's inequality to estimate the probability that the height of a woman who participated in the survey will fall within 2 standard deviations of the mean-that is, that her height will be between 59.5 and 69.5 in.