A national study found that treating people appropriately for high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif-ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat- ment by taking the right number of pills. a-What is the probability that among 10 true hyperten- sives at least 50% are being treated appropriately and are complying with this treatment? b- What is the probability that at least 7 of the 10 hyper- tensives know they have high blood pressure? c- If the preceding 50% rates were each reduced to

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A national study found that treating people appropriately for
high blood pressure reduced their overall mortality by 20%. Treating people adequately for hypertension has been dif-ficult because it is estimated that 50% of hypertensives do not know they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are appropriately treated fail to follow this treat-
ment by taking the right number of pills.

a-What is the probability that among 10 true hyperten-
sives at least 50% are being treated appropriately and are complying with this treatment?

b- What is the probability that at least 7 of the 10 hyper-
tensives know they have high blood pressure?

c- If the preceding 50% rates were each reduced to
40% by a massive education program, then what effect
would this change have on the overall mortality rate among
true hypertensives; that is, would the mortality rate decrease
and, if so, what percentage of deaths among hypertensives
could be prevented by the education program?

very important

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