MA 180/418 Name : Khalid Alshabrami Problem 7 1.) You are part of a design team working for an American Auto company. In designing the car, you will need to make sure that most people will be comfortable. Women's heights are normally distributed with a mean of 64 inches and a standard deviation of 2. 5 inches. a. Determine the probability that a randomly selected woman is less than 60 inches tall because women that are shorter, will not be comfortable in the car. b. Women who are over 70 inches tall will also not be comfortable in the car. Determine the probability that a randomly selected woman is less than 70 inches. c. Determine the probability that a randomly selected woman is between 60 and 70 inches tall. What proportion of women will not be comfortable in the car? d. What is the cutoff height for the tallest 2. 5% of women? Explanation Evidence of Problem Accuracy/ Conceptual Attendance (2pts) Solving (2pts) Understanding (2pts) (2pts)