Some sources report that the weights of full-term newborn babies in a certain town have a mean of 7 pounds and a standard deviation of 0.6 pounds and are Normally distributed.
a. What is the probability that one newborn baby will have a weight within 0.6 pounds of the mean—that is, between 6.4 and 7.6pounds, or within one standard deviation of the mean?
b. What is the probability that the average of nine babies' weights will be within 0.6 pounds of the mean; will be between 6.4 and 7.6 pounds?
c. Explain the difference between (a) and (b).
