Question: The weights of newborn children in the United States vary according to the normal

distribution with mean 8.4 pounds and standard deviation 1.32 pounds. The

government classifies a newborn as having low birth weight if the weight is less than

5.8 pounds.

a. What is the probability that a baby chosen at random weighs less than 5.8 pounds at

birth?

b. You choose three babies at random. What is the probability that their average birth

weight is less than 5.8 pounds?