(c) The histogram displays a discrete probability model for height. However, height is often considered a continuous variable that follows a normal model. Consider a normal model that uses the mean and standard deviation of the population of women as its parameters.

(i) Use the normal model and the relationship between area and relative frequency to find the probability that the randomly selected woman will have a height of at least67

inches. Show your work.

(ii) Does your answer in part (c-i) match your answer in part (a)? If not, give a reason for why the answers might be different.