A STAT 230 lecture is scheduled to last 50 minutes. There is, however, some variation in this. I estimate that the length of my lectures are approximately normally distributed, with mean 50 minutes and variance 1. A term consists of 36 lectures, and you may assume the length of each lecture is independent of the others. What is the probability a randomly chosen lecture lasts between 49 and 51 minutes? What is the probability more than 2 lectures across the entire term last less than 49 minutes? What is the expected number of lectures, each term, that last longer than 51 minutes?

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