Normal systolic blood pressure among people older than 50 years follows a normal distribution with mean 100 (mm
Hg) and SD=15 and the blood pressure among unhealthy patients that take medication follows a normal distribution with mean 140 (mmHg) and SD=20. Under the assumption that one out of ten people older than 50 suffer from hypertension, (a) what is the proportion of people in the general population with the blood pressure higher than 130; (b) what is the probability that an individual 50+ years old with the blood pressure 130 suffers from hypertension and as such requires medication?
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