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Suppose the Census Bureau reports that monthly household income for a particular region is normally distributed with mean of $5000 and a standard deviation of

Suppose the Census Bureau reports that monthly household income for a particular region is normally distributed with mean of $5000 and a standard deviation of $1500.

a) Find the probability that a randomly selected household has a monthly income greater than 6800.

b) If we take a sample of 40 household, what is the probability that the sample mean for the monthly income will be greater than $5400?

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