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The manufacturer of a new compact car claims the miles per gallon

The manufacturer of a new compact car claims the miles per gallon
(mpg) for the gasoline consumption is mound-shaped and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 27?

 
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