Eggs. Hens usually begin laying eggs when they areabout 6 months old. Young hens tend to lay smaller eggs,often weighing less than the desired minimum weight of54 grams.a) The average weight of the eggs produced by theyoung hens is 50.9 grams, and only 28% of their eggsexceed the desired minimum weight. If a Normalmodel is appropriate, what would the standard devia-tion of the egg weights be?b) By the time these hens have reached the age of 1 year,the eggs they produce average 67.1 grams, and 98%of them are above the minimum weight. What is thestandard deviation for the appropriate Normal modelfor these older hens?c) Are egg sizes more consistent for the younger hens orthe older ones? Explain.