For adults in the town of Bridgeport, systolic blood pressure is normally distributed with a mean of 134 mmHg and a standard deviation of 9 mmHg. What percentage of adults in the town have a systolic blood pressure less than 125 mmHg?

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facundo3141592 facundo3141592 · Answer 1 · 2020-05-13T02:59:56+02:00

Answer: The percentage of adults that have a blodd pressure less than 125 mmHg is 15.87%

Step-by-step explanation:

In a normal distribution, we have that in the range:

(-∞, M) we have a 50%

(M, ∞) we have the other 50%.

(the infinite symbols are for notation, obviusly you can not have negative blood pressure)

where M is the mean.

If SD is the standard deviation, in the range

(M - SD, M) we have a 34.13%

Now, the values we have are: M = 134 mmHg, SD = 9mmHg

Then we can replace those values and get:

(M - SD, M) = (125mmHg, 134mmHg) = 34.13%

The range of blodd presure that is smaller than

Then, the range of blood pressure smaller than 125mmHg is the range between (-∞, 125mmHg)

We can calculate this proportion as:

(-∞. 134mmHg) - ( 125mmHg, 134mmHg) = 50% - 34.13% = 15.87%

The percentage of adults that have a blodd pressure less than 125 mmHg is 15.87%