Answer question with solution

1) A 2013 study of Metro Manila residents aged 24-72 years old conducted by the Department of Health (DOH) investigated the effect of lifestyle factors on the risk of diabetes, hypertension, and the co-prevalence of both diseases. The lifestyle factors that were investigated included non-active versus active, smoker versus non-smoker, and alcoholic versus non-alcoholic. Based on the results of the study, DOH generated the following table of conditional probabilities. Probability of Equals... Lifestyle Factors Diabetes No Diabetes Hypertension No Hypertension Diabetes + Hypertension No Co-Prevalence of Diabetes+Hypertension Non-active 0.30 0.70 0.33 0.67 0.25 0.75 Active 0.08 0.92 0.09 0.91 0.02 0.98 Smoker 0.18 0.82 0.20 0.80 0.18 0.82 Non-Smoker 0.16 0.84 0.17 0.83 0.11 0.89 Alcoholic 0.31 0.69 0.21 0.79 0.27 0.73 Non-Alcoholic 0.16 0.84 0.18 0.82 0.05 0.95 a. The proportion of the Metro Manila population under investigation that smokes is 0.28. What proportion of the population smokes and has diabetes? b. The proportion of the Metro Manila population under investigation that has alcohol abuse problems is 0.21. What proportion of the population is alcoholic and suffers from both diabetes and hypertension? c. The proportion of the Metro Manila population under investigation that has an active lifestyle is as low as 0.11. What proportion of Metro Manila residents is active, and possibly suffers from diabetes or hypertension, but not both diseases together? d. What proportion of Metro Manila residents is not active, and possibly suffers from diabetes or hypertension, but not both diseases together? e. The proportion of the Metro Manila population under investigation that is free of both diabetes and hypertension is 0.32. In addition, given that a Metro Manila resident does not suffer from both diabetes and hypertension together, the probability that he or she is not active is 0.73. What proportion of Metro Manila residents has diabetes or hypertension but not both diseases together?