A nurse commutes daily from his urban home to his midtown hospital. On the average trip one way takes 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trips times to be normally distributed. a) What is the probability that a trip will take at least ½ hour? b) If the time of his duty is 9:00 am and he leaves his house at 8:45 am daily, what percentage of the time is he late for work? c) If he leaves the house at 8:35 am and coffee is served at the hospital from 8:50 am until 9:00 am, what is the probability that he misses coffee?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A nurse commutes daily from his urban home to his midtown hospital. On the average trip one
way takes 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trips
times to be normally distributed.
a) What is the probability that a trip will take at least ½ hour?
b)
If the time of his duty is 9:00 am and he leaves his house at 8:45 am daily, what
percentage of the time is he late for work?
c) If he leaves the house at 8:35 am and coffee is served at the hospital from 8:50 am until
9:00 am, what is the probability that he misses coffee?
Transcribed Image Text:A nurse commutes daily from his urban home to his midtown hospital. On the average trip one way takes 24 minutes, with a standard deviation of 3.8 minutes. Assume the distribution of trips times to be normally distributed. a) What is the probability that a trip will take at least ½ hour? b) If the time of his duty is 9:00 am and he leaves his house at 8:45 am daily, what percentage of the time is he late for work? c) If he leaves the house at 8:35 am and coffee is served at the hospital from 8:50 am until 9:00 am, what is the probability that he misses coffee?
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