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Home prices in a certain region are normally distributed with a mean value of $440,000 and a standard deviation of $40,900. Ten homes are randomly

Home prices in a certain region are normally distributed with a mean value of $440,000 and a standard deviation of $40,900. Ten homes are randomly chosen from the homes in the area. (Round your answers to the nearest dollar.)

(a) Find the 90th percentile for an individual home's value. $ (b) Find the 90th percentile for the average home value of a sample of size 10.

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