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Suppose cattle in a large herd have a mean weight of 1312lbs and a standard deviation...

Suppose cattle in a large herd have a mean weight of 1312lbs and a standard deviation of 54⁢lbs.

What is the probability that the mean weight of the sample of cows would be greater than 1324⁢lbs if 117 cows are sampled at random from the herd? Round your answer to four decimal places.

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