1) A Civil engineer commutes daily from his suburban home to his midtown office. The average...
1) A Civil engineer commutes daily from his suburban home to his midtown office. The average time for a one-way trip is 25 minutes, with a standard deviation of 4.2 minutes. Assume the distribution of trip times to be normally distributed.
a) What is the probability that a trip will take at least 35 minutes? (0.5 points)
b) If the office opens at 9:00 A.M. and the engineer leaves his house at 8:40 A.M. daily, what percentage of the time is he late for work? (0.5 points)
c) If he leaves the house at 8:32 A.M. and coffee is served at the office from 8:50 A.M. until 9:00 A.M., what is the probability that he misses coffee?(0.5 points)
d) Find the length of time above which we find the slowest 33%of the trips. (0.5 points)
e) Find the probability that 1 of the next 3 trips will take at least 35 minutes. (0.50 points)
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