1. Of all people who fly on United Airlines there is a 0.33 probability they have a frequent flyer account (and accumulate miles for free trips). An agent helping people confirm reservations and check baggage over the busy Thanksgiving Day weekend is also recording whether each passenger has a frequent flyer account. (a) Explain what probability 0.33 means in this setting. (b) Does this probability say that if 100 customers are chosen at random, exactly 33 of them will have a frequent flyer account? Explain. (c) The agent observes nine consecutive passengers without a frequent flyer account. She presumes the next passenger is very likely to have a frequent flyer account. Explain the flaw in this argument. 2. Suppose you spin a spinner with four equal sections (red, blue, green and yellow) two times. (a) List out all of the possible outcomes for spinning two times. egel yiov e de einebule to evened AB fogel estrel ertl to eno prhub ysh veve nortut sis vorll moilegal aidwent bas level casts woled boxhomme ois allusets (b) Define event A as spinning blue at least once. Find P(A). 3. A local restaurant is handing out coupons to customers as part of a marketing promotion. The coupons are all of equal size, well mixed, and have the name of a free item written on them. Here is the probability model for the items the customers can win: Color Beverage Appetizer Entree Dessert Probability 0.45 0.25 0.05 0.25 (a) Explain why this is a valid probability model. (isted mnobut8 10 asome