A national study found that treating people appropriately for high blood pressure decreased their overall mortality rate by 20%. Treating people adequately for hypertension has been complex because it is estimated that 50% of hypertensives do not know that they have high blood pressure, 50% of those who do know are inadequately treated by their physicians, and 50% who are adequately treated fail to follow this treatment.
What is the probability that between 10 true hypertensives at least 50% are being treated appropriately and complying with this treatment?