2. A pediatric nurse is studying the number of babies born at a hospital with congenital defects. Data shows that on the average, one baby with a congenital defect is born per month. a. What type of probability distribution is appropriate for this problem? b. Find the expected number of babies born in one year with congenital defects. c. Find the variance of the number of babies born in one year with congenital defects. d. Find the probability that no babies are born with congenital defects in three months. e. Find the probability that at least one baby is born with congenital defects in one year. f. Find the probability that exactly twelve or exactly fourteen babies are born with congenital defect in six months.