In 2003, it was reported that 40% of all car accidents in Connecticut were alcohol related. Suppose we take a random sample of 100 car accidents in Connecticut and let X be the number that are alcohol related.
A) Find the probability that fewer than 36 were alcohol related.
B) Find the probability that between 30 and 50, inclusive, were alcohol related.
C) Find the probability that at least 40 were alcohol related and at least 40 were not alcohol related.