Suppose X, the amount of money a student at a university spenton books in 2017, was normally distributed with mean $550 andstandard deviation $250 (that is, µ = 550 and σ = 250). You haveselected a simple random sample of size 100 from the studentpopulation at this university. Compute the probability that theaverage amount of money spent by this sample of students on booksin 2017 is between $520 and $580 (that is, compute P(520 ≤ X bar ≤580)). (Show work)
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