Homework Clinic
Mathematics Clinic => Statistics => Topic started by: yoooooman on Apr 14, 2020
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A math professor has two routes he can take to campus. The length of time it takes to drive each of these routes depends on traffic. Route A has a mean travel time of 20 minutes, with a standard deviation of 4 minutes. Route B has a mean travel time of 16 minutes, with a standard deviation of 3 minutes. Assume that both distributions are unimodal and roughly symmetric.
If the professor takes Route A, how often will he be able to drive to campus between 16 and 24 minutes?
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According to the Empirical Rule, the professor will be able to drive to campus between 16 and 24 minutes 68% of the time. This is because we move one standard deviation above and below the mean (20 - 4 = 16 and 20 + 4 = 24).
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Thank you