SOLUTION: In a large U.S. city a study was conducted to determine the typical commute time from home to the work place. The data was normally distributed with a mean commute time of 19 minut

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Question 602089: In a large U.S. city a study was conducted to determine the typical commute time from home to the work place. The data was normally distributed with a mean commute time of 19 minutes and a standard deviation of 4.5 minutes. What is the probability that an employee spends 25 minutes or more each day traveling to/from the work place?
Answer by stanbon(75887) (Show Source):
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In a large U.S. city a study was conducted to determine the typical commute time from home to the work place. The data was normally distributed with a mean commute time of 19 minutes and a standard deviation of 4.5 minutes. What is the probability that an employee spends 25 minutes or more each day traveling to/from the work place?
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z(25) = (25-19)/4.5 = 6/4.5 = 4/3
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P(x > 25) = P(z > 4/3) = normalcdf(4/3,100) = 0.0912
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Cheers,
Stan H.