Obesity is an important determinant of cardiovascular disease because it directly affects several established cardiovascular risk factors, including hypertension and diabetes. It is estimated that the average weight for an 18-year-old woman is 122 lbs. and increases to 143 lbs. at 50 years of age. Also, let us assume that the average SBP for a 50-year-old woman is 126 mm Hg, with a standard deviation of 17 mm Hg,and that SBP is normally distributed. (Assume that SBP can be measured exactly and no continuity correction is necessary.)

The proportion of 50-year-old women are hypertensive, if hypertension is defined asSBP140 mm Hg: 0.2054

From previous clinical trials, it is estimated that for every 10 lbs. of weight loss there is, on average, a corresponding reduction in mean SBP of 3 mm Hg. Suppose an average woman did not gain any weight from age 18 to 50. What average SBP (in mm Hg) for 50-year-old women would be expected under these assumptions: 119.7 mmHg

(c)If the standard deviation of SBP under the assumption in part (b) remained the same (17mm Hg), and the distribution of SBP remained normal, then what would be the expected proportion of hypertensive women under the assumption in part (b)? (Round your answer to four decimal places.)

(d)What percentage of hypertension at age 50 is attributable to the weight gain from age 18 to 50? (Round your answer to two decimal places.)