1. In 2006, there were about 11 million commercial flights in the United States. If one is selected at random, what is the probability that it involved a fatal accident?
2. Is a binomial distribution a good model for determining the probability of various numbers of fatal accidents during a year?
3. Explain your reasoning and include a discussion of the four criteria for a binomial experiment. Make sure you clearly think through each criterion.
4. Suppose that the probability of a fatal accident in a given year is 0.0000004. Construct a binomial distribution for n = 11,000,000 and p = 0.0000004 (from above) as well as p = 0.0000008 with x = 0 to 12.