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The average sales price of a single-family house in the United States is $235,500. You randomly select 12 single-family houses. What is the probability that

The average sales price of a single-family house in the United States is $235,500. You randomly select 12 single-family houses. What is the probability that the mean sales price is more than $225,000? Assume the sales prices are normally distributed with a standard deviation of $50,000.

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