1. Of all people who fly on United Airlines there is a 0.33 probability they have a frequent flyer account. 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.

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.

(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:

Coupon Beverage Appetizer Entree Dessert

Probability 0.45 0.25 0.05 0.25

(a) Explain why this is a valid probability model.

(b) Find the probability that a customer won't win an entree.