.In grading eggs into small, medium, and large, Delmont Farms packs the eggs that weigh more than 3.6 ounces into packages marked "Large" and the eggs that weigh less than 2.4 ounces into packages marked "Small"; the remainder of the eggs are packed into packages marked "Medium". If a day's packaging contained 10.20% large and 4.18% small eggs, determine the mean for the eggs' weights. Assume that the distribution of the weights is NORMAL and the Standard deviation = .4 ounces.