A health services researcher is studying the distribution of…
A health services researcher is studying the distribution of systolic blood pressure (SBP) in mmHg among adults aged 40–59 in a large population-based cohort. The researcher determined that SBP in this group is approximately normally distributed with a mean (μ) = 130 mmHg and standard deviation (σ) = 15 mmHg. The provided figure shows the normal distribution of SBP. The region under the curve to the right of 145 mmHg is shaded. What proportion of adults in this population are expected to have systolic blood pressure at or above 145 mmHg? Provide the approximate probability (as a decimal or percentage) using the empirical rule (68-95-99.7 rule) or standard normal reference. Show your reasoning briefly. (2–3 sentences).