The mean commuting time between a person's home and office is 45 minutes.

The standard deviation is 12 minutes. Assume the variable is normally distributed. Find the probability that it takes a person between 39 and 46 minutes to walk to work.
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The z score for 39 mins is (39-45)/12=-0.5 and for 46 mins is (46-45)/12=1/12=0.0833.

The corresponding probabilities are: 0.3085 and 0.5332, making the range about 0.2247 or 22.5%.
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