**STATISTICS 2 CAST STUDY**
**LOOK AT PHOTO BEFORE ANSWERING**
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. Suppose the probability of a fatal accident in a year is 0.0000004. A binomial probability distribution for n = 11,000,000 and P = 0.0000004 with x = 0 to 12 is shown.
What is the Probability that there will be
A: 4 Accidents in a year?
B: 10 Fatal accidents?
C: Between 1 and 5 inclusive
3. Construct a binomial distribution for n = 11,000,000 and p = 0.0000008 with x = 0 to 12. Compare your results with the distribution in exercise 2.
4. Is a binomial distribution a good model for determining the probabilities of various numbers of fatal accidents during a year? Explain your reasoning and include a discussion of the four criteria for a binomial experiment.
5. According to analysis by USA TODAY, air flight is do dafe that a person “would have to fly every day for more than 64,000 years before dying in an accident.” How can such a statement be justified?
