lawyer commutes daily daily, what percentage of the time is he late for work?

by Mertie Schamberger 7 min read

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Probability Distributions

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Answer

A lawyer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trip times to be normally distributed. (a) What is the probability that a trip will take at least 1 / 2 hour? (b) If the office opens at 9: 00 A.M.

Video Transcript

but the All right. So commute takes on average 24 minutes with a standard deviation of 3.8 minutes. All right, mm hmm. And this is normally distributed. So, it uses the normal distribution formula where a is going to be the time in minutes that we are interested in. Okay. And it's important to note this always assumes less than this.