On the coming Thursday Prof. Xing will hold an office hour that is suppose to end at 10 am, and will have a meeting that starts at 10 am. Suppose that the actual ending time of the office hour is a normally distributed random variable with mean 9:55 am and standard deviation 2 minutes, and that the meeting starts at 10 am sharp. Suppose also that the time needed to get from his office to the meeting room is a normally distributed random variable with mean 3 minutes and standard deviation 1 minute.
What is the probability that Prof Xing arrives at the meeting before it starts?
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