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86 A student has a class that is supposed to end at 9 00 am...

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86 A student has a class that is supposed to end at 9 00 am and another that is supposed to begin at 9 10 am Suppose the actual ending time of the 9 A M class is a normally distributed ry X with mean 9 02 and standard deviation 1 5 min and that the starting time of the next class is also a normally distributed ry X with mean 9 10 and standard deviation I min Suppose also that the time necessary to get from one classroom to the other is a normally distributed ry X with mean 6 min and standard deviation 1 min What is the probability that the student makes it to the second class before the lecture starts Assume independence of X X and X which is reason able if the student pays no attention to the finishing time

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