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Medical research suggests that systolic blood pressure in adults is approximately normally distributed with a mean of 123.5 mm Hg and standard deviation 11.5 mm Hg.What value of systolic blood pressure distinguishes the highest 10%?

Question

Medical research suggests that systolic blood pressure in adults is approximately normally distributed with a mean of 123.5 mm Hg and standard deviation 11.5 mm Hg.

What value of systolic blood pressure distinguishes the highest 10%?

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Step 1

Denote X as the blood pressure in adults. It is given that X is approximately normally distributed, with mean μ = 123.5 mm Hg and standard deviation σ = 11.5 mm Hg.

Step 2

Let x be the value of the systolic blood pressure that distinguishes the highest 10%.

In the term of the probability t can be written as,

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Step 3

Simplification of...

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