(solution) On the coming Thursday Prof. Xing will hold an office hour that

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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