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A retailer selling air conditioners offers customers a summer deal during the first 13 days of...

A retailer selling air conditioners offers customers a summer deal during the first 13 days of June. The store promises to refund 25% of the air conditioner purchase price if the average temperature, over the first 13 days of June, is more than 2.5 degrees above the mean temperature for the first 13 days in June. Historical data indicates that daily temperatures in the first 13 days of June are normally distributed with a mean of 29.0 degrees and a standard deviation of 4.7 degrees. What is a probability that a customer will receive a 25% refund? (4 dec places)

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