When David commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of

Question

When David commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 44 minutes and a standard deviation of 5 minutes. Using the empirical rule, what percentage of his commutes will be between 39 and 49 minutes?

GPT-5 mini · Accepted Answer

39 minutes = 44 − 5 and 49 = 44 + 5, i.e. ±1 standard deviation. By the empirical rule about 68% of values lie within one SD of the mean, so ≈68% of his commutes.

When David commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 44 minutes and a standard deviation of 5 minutes. Using the empirical rule, what percentage of his commutes will be between 39 and 49 minutes?

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