15. Which of the following pairs of events is mutually exclusive? a) Drawing a face card or drawing a queen from a deck of cards b) Rolling doubles or rolling a total of 6 with two standard dice c) Rolling an even number on a standard dice and a number less than 4. d) Electing a female class president or electing a male class president e) None of the above 16. Which of the following pairs of events are dependent? a) rolling a die; dealing a card from a standard deck b) rolling a 6 on one die; rolling a 6 on a second die c) rolling doubles with two dice; rolling an even sum with two dice d) getting a second king from a standard deck; after getting a first king, cards are not replaced e) None of the above 17. Suppose that 8% of the first batch of engines off a new production line have flaws. An inspector randomly selects 25 engines for testing. What is the expected number of flawed engines in the sample? a) 0.24 b) 4 d) 1 e) None of the above 18. If a set of data has a mean of 12 and a standard deviation of 3, what is the z-score for a value of 9? a) -1 b) 1 c) +1 d) 0 e) None of the above. 19. Which of the following does not give the same value when evaluated? a) 5P4 6) 5! c) 120 d) 5 x4 x3 x 1 e) None of the above 20. If mean = 10, standard deviation = 2, and X = 12 which is the correct z-score? (Use the one-sided table used in class) a) 0.8413 b) 0.1587 c) 0.68 d) 0.34 13 e) None of the above