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In: Statistics and Probability

A health study reported​ that, in one​ country, systolic blood pressure readings have a mean of...

A health study reported​ that, in one​ country, systolic blood pressure readings have a mean of 118 and a standard deviation of 16.A reading above 140 is considered to be high blood pressure.

a. What is the​ z-score for a blood pressure reading of​ 140?

b. If systolic blood pressure in that country has a normal​ distribution, what proportion of the population suffers from high blood​ pressure?

c. What proportion of the population has systolic blood pressure in the range from 101 to​ 140?

d. Find the 90th percentile of blood pressure readings.

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