SOLUTION: 5. Diastolic blood pressure are assumed to follow a nomal distribution with a mean of 85 and a standard deviation of 12. a. what proportion of people have diastolic blood pressure

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Question 1169826: 5. Diastolic blood pressure are assumed to follow a nomal distribution with a mean of 85 and a standard deviation of 12.
a. what proportion of people have diastolic blood pressure less than 90?
b.what proportion have diastolic blood pressure between 80 and 90?
c. if someone has a diastolic blood pressure of 100, what percentile is he/she in?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
a. z<(90-85)/12 or 5/12. Probability z is less than that is 0.6615
b. between 80 and 90 done the same way. On the calculator do normalcdf(80,90,85,12) for 0.3231 probability
c. that is a z=1.25 (100-85)/12. This is the 89.4th percentile.

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