H 220: Introduction It! Health Data Analysis Problem Set 5 30 Total Points Instructions. Upload your solution set to Problem Set 5 in Canvas by 8pm PDT on Thursday of Week 7. Include your name and P55 on your solution set and in the lename. Show all work so that partial credit can be earned. Answer all parts to every question. Feel free to discuss any of these problems on the Discussion Board in Canvas. 1. [2 points each; 6 total points} A survey of Oregon State University undergraduate students is conducted to assess their consum- ion of coffee. The followin- table summarizes the data. _ Do not drink coffee Drink Decaffeinated Onl Drink Caffeinated Coffee \"1\" -__H a. What proportion of students drink decaffeinated coffee only? 1:. What proportion of coffee drinkers {caffeinated and decaffeinated} are female? c. What proportion of the females do not drink coffee? 2. [4 points each; 12 total points] Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. a. What proportion of people have diastolic blood pressure less than 90? b. What proportion have diastolic blood pressures between 80 and 90? c. If someone has a diastolic blood pressure of 100, what percentile is he/she in? 3. [4 points each; 12 total points] Suppose that the BMI of pregnant women at 16 weeks gestation has a mean of 28.5 with a standard deviation of 3.6 and BMI is assumed to follow a normal distribution. Find the following: a. The proportion of women with BMI> 30. b. The proportion of women with BMI>40. c. The BMI that separates the top 10% from the rest