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14 June, 11:49

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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  1. 14 June, 14:38
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    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%
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