Math Problem Statement
The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 118 millimeters of mercury (mmHg) and standard deviation of 26.
Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. Stage 1 high BP is specified as systolic BP between 140 and 160.
What is the probability that an adult in the USA has stage 2 high blood pressure?
What is the probability that an adult in the USA has stage 1 high blood pressure?
Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? mmHg
What is the systolic blood pressure that cuts off the top 2.5% of adults in the USA? mmHg
Solution
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Math Problem Analysis
Mathematical Concepts
Normal Distribution
Probability
Percentiles
Z-scores
Formulas
Z = (X - μ) / σ
P(X ≥ x) = 1 - P(Z ≤ z)
X = Zσ + μ
Theorems
Properties of the Normal Distribution
Suitable Grade Level
Grades 10-12
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