SOLUTION: When Tallulah commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 48 minutes and a standard deviation of 4 minutes. Using the empiric
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Question 1205159: When Tallulah commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 48 minutes and a standard deviation of 4 minutes. Using the empirical rule, what percentage of her commutes will be between 36 and 60 minutes?
You can put this solution on YOUR website! mean is 48 minutes.
standard deviation is 4 minutes.
36 minutes is 12 minutes less than 48 minutes.
divide that by 4 and you get 3 standard deviations.
60 minutes is 12 minutes greater than 48 minutes.
divide that by 4 and you get 3 standard deviations.
your percentage will be plus or minus 3 standard deviations from the mean.
by the empirical rule, that represents 99.7% of the area under the normal distribution curve.
therefore, 99.7% of her commutes will be between 36 and 60 minutes.
here's a reference on the empirical rule. https://online.stat.psu.edu/stat800/lesson/2/2.2
