The mean weight of all Goliath grouper caught on the Treasure coast is 412 pounds, with a standard deviation of 54 pounds. Suppose a random sample of 46 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 46 Goliath Grouper is within 20 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places, if necessary. P(within 20 pounds of)

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