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In a recent year, the average salary of individuals at a large corporation was $74,320. Assume...

In a recent year, the average salary of individuals at a large corporation was $74,320. Assume the standard deviation is $5,400 and the average salary of individuals in the large corporation is normally distributed. Find the probability that the mean of a sample of 72 employees of the large corporation will be (Show your work to receive credit):

a) Between $73,000 and $75,000

b) More than $72,400

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