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 difficult 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 treatment by taking the right number of pills. 4.30 What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are complying with this treatment?
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 difficult 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 treatment by taking the right number of pills.
4.30 What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are
complying with this treatment?
4.31 What is the probability that at least 7 of the 10 hypertensives know they have high blood pressure?
4.32 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?
Some previous studies have shown a relationship between
emergency-room admissions per day and level of pollution
on a given day. A small local hospital finds that the number of admissions to the emergency ward on a single day
ordinarily (unless there is unusually high pollution) follows
a Poisson distribution with mean = 2.0 admissions per day.
Suppose each admitted person to the emergency ward
stays there for exactly 1 day and is then discharged.
4.67 The hospital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for
at least 95% of normal-pollution days it will not need to turn
anyone away. What is the smallest number of beds it should
have to satisfy this criterion?
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