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When Damian runs the 400 meter dash, his finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 1 second. Using the empirical
rule, determine the interval of times that represents the middle 99.7% of his finishing
times in the 400 meter race.

Sagot :

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The middle 99.7% is within 60 seconds to 63 seconds.

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

mean (μ) = 60 seconds, standard deviation (σ) = 1 second

99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)

The middle 99.7% is within 60 seconds to 63 seconds.

Find out more at: https://brainly.com/question/4518679

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