QUESTION 2 This assignment question should be completed with pen and paper and by using your Z-tables. You can use R in addition to this if you are keen, but the R part is optional, the 'pen-and-paper' part is compulsory. For women aged between 18-24, systolic blood pressures (in mmHg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1 (based on National Health Surveys). Hypertension is commonly defined as a systolic blood pressure above 140. a. Sketch the PDF of systolic blood pressure for women aged between 18-24. b. If a woman between the ages of 18-24 is randomly selected, find the probability that her systolic blood pressure will be greater than 140. (Hint: shade this area on your PDF). c. If 4 women in that age bracket are randomly selected repeatedly, sketch the PDF of mean systolic blood pressure. d. If 4 women in that age bracket are randomly selected, find the probability that their mean systolic blood pressure is greater than 140 (Hint: shade this area in on your PDF). e. Given that the previous question only used a sample size of 4, explain how the Central Limit Theorem could allow you to fulfill the assumption of normality