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Our subjects are 35-44-year-old males, whose blood pressures are normally distributed with mean 80 and standard deviation 12. A borderline hypertensive is defined as a

Our subjects are 35-44-year-old males, whose blood pressures are normally distributed with mean 80 and standard deviation 12. A borderline hypertensive is defined as a person whose diastolic blood pressure is between 90 and 95 mm Hg inclusive. What proportion of subjects are borderline hypertensive? (Use the steps outlined below)

a. Draw a normal curve with the parameters as stated. Shade in the region in the figure that represents the proportion of subjects with blood pressure between 90 and 95mm Hg.

b. Convert the boundaries of the region to z-scores. Round the answers to 2 decimal places.

c. Find the area that corresponds to the shaded region. Show the calculator function used and all inputs. Round the answer to 4 decimal places.

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