1 The gaming commission in its annual examination of the casinos in the state reported that all roulette wheels were fair. Explain the meaning of the term fair with respect to the roulette wheel? 2 The state vehicle inspection bureau provided the following information on the percentage of cars that fail an annual vehicle inspection due to having faulty lights: 15% of all cars have one faulty light, 10% have two faulty lights, and 5% have three or more faulty lights. a. What is the probability that a randomly selected car will have no faulty lights? b. What is the probability that a randomly selected car will have at most one faulty light? c. What is the probability that a randomly selected car will fail an inspection due to a faulty light? 3 The makers of the candy M&Ms report that their plain M&Ms are composed of 15% yellow, 10% red, 20% orange, 25% blue, 15% green, and 15% brown. If you randomly select an M&M, what is the probability of the following? a. It is brown. b. It is red or green. c. It is not blue. d. It is both red and brown 4 The utility company in a large metropolitan area finds that 70% of its customers pay a given monthly bill in full. a. Suppose two customers are chosen at random from the list of all customers. What is the probability that both customers will pay their monthly bill in full? b. What is the probability that at least one of them will pay in full? 4.28Refer to Exercise 4.27. A more detailed examination of the company records indicates that 4.23A survey of 1,000 U.S. government employees who have an advanced college degree produced the following responses to the offering of a promotion to a higher grade position that would involve moving to a new location. Married Promotion Both Spouses One Spouse Professional Professional Unmarried Total Rejected 184 56 17 257 Accepted 276 314 153 743 Total 460 370 170 1,000 Use the results of the survey to estimate the following probabilities. a. What is the probability that a randomly selected government employee having an advanced college degree would accept a promotion? b. What is the probability that a randomly selected government employee having an advanced college degree would not accept a promotion? c. What is the probability that a randomly selected government employee having an advanced college degree has a spouse with a professional position