1) A patient visits his doctor

1)A patient visitshis doctor with concerns about his blood pressure. If the systolicblood pressure exceeds 150, the patient is considered to have highblood pressure and medication may be prescribed.Thepatient’s systolic readings during a given day have a Normaldistribution with a mean of 160 and a standard deviation of20.
a)Whatis the probabilitythat a single measurement will be less than 150 and hence failto indicate that the patient has a high blood pressureproblem?

b)If 10 measurementsare taken at various times during the day, what is the probabilitythat the average blood pressure readings will be less than 150 andhence fail to indicate that the patient has a high blood pressureproblem?

Answer:

We will calculate these probabilities using the areas understandard normal curve.


 
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