4. Weights of Babies: Finding Probabilities In the United States, weights of newborn babies are normally distributed with a mean of 7.54 lb and a standard deviation of 1.09 lb

(based on data from “Birth Weight and Perinatal Mortality,” by Wilcox, Skjaerven, Buekens, and Kiely, Journal of the American Medical Association, Vol. 273, No. 9).

a. If a newborn baby is randomly selected, what is the probability that he or she weighs more than 8.00 lb?

b. If 16 newborn babies are randomly selected, what is the probability that their mean weight is more than 8.00 lb?

c. What is the probability that each of the next three babies will have a birth weight greater than 7.54 lb?