Suppose that the systolic blood pressure of males ( measured in mm ) has a distribution that is approximately normal, with μ = 125 and standard deviation σ = 15. Find the probability that a random male has a blood pressure greater than 137 mm.

Answer:

Given:

The population mean $(𝜇) = 125$

The population standard deviation $(σ) = 15$

Solution:

The probability that a random male has a blood pressure greater than 137 mm:

$∴ P (x > 137) = P (\frac{x - μ}{σ} > \frac{137 - 125}{15}) = P (z > 0.8) = 0.2119$

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