Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a mean of 8080 mmHg and a standard deviation of 1111 mmHg. Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are at least 6969 mmHg? Please do not round your answer.

84% of adult males have diastolic blood pressure readings that are at least 69 mmHg

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 80

Standard deviation = 11

Using the empirical rule, what percentage of adult males have diastolic blood pressure readings that are at least 69 mmHg?

The normal probability distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.

69 = 80 - 11

So 69 is one standard deviation below the mean.

By the Empirical Rule, 68% of the measures below the mean, are within 1 standard of the mean. So

50% + 0.68*50% = 84%

84% of adult males have diastolic blood pressure readings that are at least 69 mmHg

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