6. A lawyer commutes daily from his suburban home to his midtown oﬃce. The average time...

6. 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 the trip-length to be normally distributed. (a) If the oﬃce opens at 9:00am and he leaves his house at 8:40 am daily, what percentage of the time is he late for work? You must draw the distribution and indicate the relevant numbers etc. You must also give the answer as a number. (b) Find the length of time above which we ﬁnd the longest 20% of the trips. You must draw the distribution and indicate the relevant numbers etc. You must also give the answer as a number. (c) During a period of 20 work days, on how many days should you expect the lawyer to be late for work? (d) What is the probability that he is late on at most 10 of those 20 days?

Expert Solution

milcah answered 1 year ago

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