Based upon statistical studies it has been found that 3.36% of all births in the United States will result in twins being born. If 32,300 births are selected at random what is the probability that: a) between 1,000 and 1,100 of them (inclusive) will result in twins being born? b) at most 1,125 of them will result in twins being born? .

1. Based upon statistical studies it has been found that 3.36% of
all births in the United States will result in twins being born. If
32,300 births are selected at random what is the probability
that:
a) between 1,000 and 1,100 of them (inclusive) will result in
twins being born?
b) at most 1,125 of them will result in twins being born?