4. According to research, foot length of women is normally distributed with mean 6.58 inches with population standard deviation of 0.51 inch. This distribution is useful to shoe manufacturers, shoe stores, and related merchants because it permits them to make informed decisions about shoe production, inventory, and so forth. Suppose that the distribution of this foot length of women is normally distributed. Answer the following questions. a. What is the probability that a randomly selected woman whose foot length is more than 7 inches? (1 Mark) b. What is the probability that a randomly selected woman whose foot length is between 6 and 9 inches? (2 Marks) c. Top 2% of these women are categorized as having huge body sizes and need bigger shoe sizes. What is the minimum foot length of these huge-body-size women who need bigger shoe sizes? (2 Marks)