2. Clutch size refers to the number of eggs laid by a bird during mating season. Suppose the mean clutch size for a brown-breasted woodpecker is 3.6 eggs with a standard deviation of 1.4 eggs. (a) Compute the probability that a randomly selected woodpecker lays more than 4 eggs. (b) Compute the probability that a randomly selected group of 24 woodpeckers lays more than 4 eggs on average. (c) Compute the probability that a randomly selected group of 36 woodpeckers lays more than 4 eggs on average