ov 4 3 sic sic sic sic us The state vehicle inspection bureau provided 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 4 9 The Texas Lottery has a game Daily 4 in which a player pays 1 to select four single digit numbers Each week the Lottery commission places a set of 10 balls numbered 0 9 in each of four containers After the balls are thoroughly mixed one ball is selected from each of the four containers The winner is the player who matches all four numbers a What is the probability of being the winning player if you purchase a single set of four numbers b Which of the probability approaches subjective classical or relative frequency did you employ in obtaining your answer in part a Basic Event Relations and Probability Laws 4 10 A die is rolled two times Provide a list of the possible outcomes of the two rolls in this form the result from the first roll and the result from the second roll 4 11 Refer to Exercise 4 10 Assume that the die is a fair die that is each of the outcomes has a probability of 1 36 What is the probability of observing a Event A Exactly one dot appears on each of the two upturned faces b Event B The sum of the dots on the two upturned faces is exactly 4 c Event C The sum of the dots on the two upturned faces is at most 4 4 12 Refer to Exercise 4 11 a Describe the event that is the complement of event A b Compute the complement of event A 4 13 Refer to Exercise 4 11 a Are events A and B mutually exclusive b Are events A and C mutually exclusive c Are events B and C mutually exclusive 4 14 A credit union takes a sample of four mortgages each month to survey the homeowners satisfaction with the credit union s servicing of their mortgage Each mortgage is classified as a fixed rate F or variable rate V a What are the 16 possible combinations of the four mortgages Hint One such possibility would be FjV V3F4