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Active Learning Lecture Slides For use with Classroom Response Systems Chapter 4: Discrete Probability Distributions Elementary Statistics: Picturing the World Fourth Edition by Larson and Farber Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 1 True or false: The number of kittens in a litter is an example of a discrete random variable. A. True B. False Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 2 True or false: The number of kittens in a litter is an example of a discrete random variable. A. True B. False Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 3 Determine the probability distributionâ€™s missing probability value. x P(x) 0 1 2 3 0.25 0.30 ? 0.10 A. 0.25 B. 0.65 C. 0.15 D. 0.35 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 4 Determine the probability distributionâ€™s missing probability value. x P(x) 0 1 2 3 0.25 0.30 ? 0.10 A. 0.25 B. 0.65 C. 0.15 D. 0.35 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 5 x represents the number of televisions in a household: x P(x) 0 1 2 3 0.05 0.20 0.45 0.30 Find the mean. A. 2 B. 1.5 C. 6 D. 0.25 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 6 x represents the number of televisions in a household: x P(x) 0 1 2 3 0.05 0.20 0.45 0.30 Find the mean. A. 2 B. 1.5 C. 6 D. 0.25 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 7 x represents the number of televisions in a household: x P(x) 0 1 2 3 0.05 0.20 0.45 0.30 Find the standard deviation. A. 1.29 B. 0.837 C. 0.146 D. 1.12 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 8 x represents the number of televisions in a household: x P(x) 0 1 2 3 0.05 0.20 0.45 0.30 Find the standard deviation. A. 1.29 B. 0.837 C. 0.146 D. 1.12 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 9 Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the probability exactly 5 of the marriages will end in divorce. A. 0.160 B. 0.015 C. 0.039 D. 0.333 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 10 Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the probability exactly 5 of the marriages will end in divorce. A. 0.160 B. 0.015 C. 0.039 D. 0.333 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 11 Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the mean number of marriages that will end in divorce. A. 2.15 B. 8.55 C. 6.45 D. 2.85 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 12 Forty-three percent of marriages end in divorce. You randomly select 15 married couples. Find the mean number of marriages that will end in divorce. A. 2.15 B. 8.55 C. 6.45 D. 2.85 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 13 A fair die is rolled until a 2 appears. Find the probability that the first 2 appears on the fifth roll of the die. A. 0.482 B. 0.067 C. 0.0006 D. 0.080 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 14 A fair die is rolled until a 2 appears. Find the probability that the first 2 appears on the fifth roll of the die. A. 0.482 B. 0.067 C. 0.0006 D. 0.080 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 15 The mean number of customers arriving at a bank during a 15-minute period is 10. Find the probability that exactly 8 customers will arrive at the bank during a 15-minute period. A. 0.0194 B. 0.1126 C. 0.0003 D. 0.0390 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 16 The mean number of customers arriving at a bank during a 15-minute period is 10. Find the probability that exactly 8 customers will arrive at the bank during a 15-minute period. A. 0.0194 B. 0.1126 C. 0.0003 D. 0.0390 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 4- 17