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Dave drives to work each morning at about the same time. His commute time is normally...

Dave drives to work each morning at about the same time. His commute time is normally distributed with a mean of 38 minutes and a standard deviation of 5 minutes. The percentage of time that his commute time exceeds 44 minutes is equal to the area under the standard normal curve that lies to the ___ of ___.

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Answer #1

Given that, mean (μ) = 38 minutes and

standard deviation = 5 minutes

Z-score for x = 44 minutes is,

That means 44 minutes is 1.2 standard deviations above the mean.

Therefore, the percentage of time that his commute time exceeds 44 minutes is equal to the area under the standard normal curve that lies to the Right of 1.2

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