In 2006–2007, the Canadian in-hospital preterm birth (prematurity, that is, birth before 37 weeks of gestation) and SGA (small for their gestational age) rates were approximately 8.1% and 8.3%, respectively. A survey of 500 randomly selected Canadian in-hospital births is conducted. a) What is the approximate probability that at most 50 of these births will be declared SGA?
b) What is the probability that more than 10% of the sampled births will be termed preterm?