In statistics, the term "normal curve" refers to a specific member of an entire family of curves that share a number of important characteristics. First, they are curves that model probability distributions for random variables. Second, they are all symmetric about the vertical line with equation of the form x = , where is the mean of the probability distribution. Third, all normal curves are shaped like the profile of a bell and are, therefore, sometimes called "bell curves." Fourth, the edges of the bell are infinite in length and approach the horizontal axis (the line y = 0) asymptotically from above. Fifth, since the curves represent probability distributions, the total area under each normal curve is 1. Finally, members of the family of normal curves have equations of the form y = (1/((2)))e^{((-1/2)(x-)/)2}), where is the mean of the given distribution and is the standard deviation. These formulas...