Question: The stated weight of a bag of potatoes from a particular company is it) pounds. The company’s guidelines are for the bags of potatoes to be filled with 10.15 pounds (so as to not sell many bags that have less than the stated weight). The distribution of bags of potatoes is assumed to be normal with a population mean of 10.15 pounds and a population standard deviation of 0.20 pounds

1. What is the probability that a bag of potatoes will have a mean bag weight of more than 10.50 pounds (to four decimal places)?
2. The bags of potatoes are also sold in boxes with 4 bags of potatoes. What is the probability that a box (i.e., 4 bags of potatoes) Will have a mean bag weight of less than 10 pounds (to four decimal places)?

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