1. About 35% of the population has blue eyes (based on a study by Dr. P. Sarita Sonia at Indiana University) (a) If someone is randomly selected what is the probability that he or she does not have blue eyes? (b) If four different people are randomly selected, what is the probability that they all have the blue eyes? (c) Would it be unlikely to randomly select four people and find that they all have blue eyes? Why or why not? 2. A basketball player who makes 80% of her free throws is asked to shoot free throws until she misses. The number of free-throw attempts is recorded. Is this representing a binomial experiment? Why or why not? 3. A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment using Binomial Probability Distribution Function Formula: = 8, = 0.35, = 3 4. According to flightstats.com, American Airlines flight from Orlando to Los Angeles is on time 60% of the time. Suppose 8 flights are randomly selected, and the number of on-time flights is recorded. Using the Binomial Distribution Table: (a) Explain why this is a binomial experiment (4 requirements): (b) Find the probability that exactly 5 flights are on time: (c) Find the probability that at least 5 flights are on time: (d) Find the probability that fewer than 5 flights are on time: (e) Find the probability that between 4 and 7 flights, inclusive, are on time