3. The weights of eggs produced by the hens at one local farm are approximately normally distributed with a mean of 2.14 ounces and a standard deviation of 0.45 ounces. (a) For an egg selected at random from this local farm, what is the probability that the egg will weigh 2.5 ounces or more? (b) Suppose that 3 eggs are selected at random from this farm. What is the probability that all 3 of the selected eggs weigh 2.5 ounces or more?(c) The USDA sizing of eggs is based on weight per 12 (one dozen) eggs. To be classified as "jumbo" a dozen eggs must have a mean weight of 2.5 ounces or more. Suppose one dozen eggs are selected at random from this local farm. What is the probability that the selected dozen eggs will be classified as jumbo