Question

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 20 .Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. %

Answer 1

For a normal distribution, the standard score is given by the formula:

From the question, we are provided with the following information:

`\begin{gathered} x=160 \\ \mu\colon121 \\ \sigma\colon20 \end{gathered}`

Thus, we have:

`\begin{gathered} z=(160-121)/(20) \\ z=(39)/(20) \\ z=1.95 \end{gathered}`

Probability of z>1.95 is 0.02558 or 2.558%

Hence, the percentage of adults in the USA that have stage 2 high blood pressure is 2.558%