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. Answer the following: 1- What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are complying with this treatment?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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 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.

Answer the following:

1- What is the probability that among 10 true hypertensives at least 50% are being treated appropriately and are

complying with this treatment?

2- What is the probability that at least 7 of the 10 hypertensives know they have high blood pressure?

3- 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?

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