The mean weight of all Goliath grouper caught on the Treasure coast is 438 pounds, with a standard deviation of 49 pounds. Suppose a random sample of 92 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 92 Goliath Grouper is within 8 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 8 pounds of ) =