The mean weight of all Goliath grouper caught on the treasure coast is 435 pounds with a standard deviation of 51 pounds suppose a random sample of 77 Goliath groper from the tragicals are caught in...

The mean weight of all Goliath grouper caught on the treasure coast is 435 pounds with a standard deviation of 51 pounds suppose a random sample of 77 Goliath groper from the tragicals are caught in Weighed.Determine the probability that the average weight of the sample of 77 Goliath Roper is within 6 pounds of the average weight of a goliath grouper caught on the treasure cost around the solution to four decimal places if necessary.P(x̅ within 6 pounds of μ)=