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Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.2 ounces and a standard deviation of 1.2

Potatoes - Samples: Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.2 ounces and a standard deviation of 1.2 ounces.

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.7 ounces. Round your answer to 4 decimal places.

(b) If 7 potatoes are randomly selected, find the probability that the mean weight is more than 9.3 ounces. Round your answer to 4 decimal places.

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