Project #34987 - Probability Distribution

A patient visits her doctor with concerns about her blood pressure.  If the systolic blood pressure exceeds 150, the patient is considered to have high blood pressure and medication may be prescribed.  The problem is that there is considerable variation in a patient’s systolic blood pressure readings during a given day.  (5 points each)

 

  1. If a patient’s systolic blood pressure readings during a given day has a normal distribution with a mean of 160 mm mercury and a standard deviation of 20mm, what is the probability that a single measurement will fail to detect that the patient has high blood pressure?

  2. If five measurements are taken at various times of the day, what is the probability that all five will fail to detect that the patient has high blood pressure?

  3. If five measurements are taken at various times of the day what is the probability that their average will be less than 150 and hence fail to detect that the patient has high blood pressure?
  4. If the mean of several measurements is to be used as an indicator of the patient’s actual blood pressure, how many measurements would be required so that the probability is at most 1% of failing to detect that the patient has high blood pressure?

Subject Mathematics
Due By (Pacific Time) 07/08/2014 10:00 pm
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