2. According to a study published in Plos One, the mean birth weight of children delivered in Cape Coast is 3026.7 grams with a standard deviation of 509.3 grams. Assuming birth weight of the Cape Coast population is normally distributed. a. Find the probability that a child selected at random has a birth weight of less than 2500 grams. b. If 10 children are selected at random, find the probability that the mean birth weight of the sample will be less than 2500 grams