According to goverment data, 22% of american children under age of six live in households with incomes less than the official poverty level. A random sample of 300 children is chosen for a study of learning in early childhood.
a) Find out the mean number of children in the sample who come from poverty-level households? Determine the standard deviation of this number?
b) Employ the normal approximation to compute the probability that at least 80 of the children in the sample live in poverty.