There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over. A sample of 1000 persons is selected at random. Round the answers to 3 decimal places.
a) Approximate the probability that more than 214 persons in the sample have a disability.
b) Approximate the probability that between 180 and 300 people in the sample have a disability.