22. Suppose the distribution of the time X (in hours) spent by students at a certain university...

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22. Suppose the distribution of the time X (in hours)

spent by students at a certain university on a particular project is gamma with parameters a  50 and b  2. Because a is large, it can be shown that X has approximately a normal distribution. Use this fact to compute the probability that a randomly selected student spends at most 125 hours on the project.

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