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Slide 5- 1 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Active Learning Lecture Slides For use with Classroom Response Systems Elementary Statistics Eleventh Edition and the Triola Statistics Series by Mario F. Triola Chapter 5: Discrete Probability Distributions

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Slide 5- 2 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Use the binomial probability formula to find the probability of x successes in n trials given the probability p of success on a single trial. n = 12, x = 5, p = 0.25 A. 0.103 B. 0.082 C. 0.091 D. 0.027

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Slide 5- 3 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Use the binomial probability formula to find the probability of x successes in n trials given the probability p of success on a single trial. n = 12, x = 5, p = 0.25 A. 0.103 B. 0.082 C. 0.091 D. 0.027

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Slide 5- 4 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 5 people (without replacement) from a group of 34 people, of which 15 are women, keeping track of the number of men chosen. A.Not binomial: the trials are not independent. B.Not binomial: there are more than two outcomes for each trial. C. Procedure results in a binomial distribution. D. Not binomial: there are too many trials.

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Slide 5- 5 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 5 people (without replacement) from a group of 34 people, of which 15 are women, keeping track of the number of men chosen. A.Not binomial: the trials are not independent. B.Not binomial: there are more than two outcomes for each trial. C. Procedure results in a binomial distribution. D. Not binomial: there are too many trials.

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Slide 5- 6 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 7 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the number of red marbles chosen. A.Not binomial: the trials are not independent. B.Procedure results in a binomial distribution. C.Not binomial: there are too many trials. D.Not binomial: there are more than two outcomes for each trial.

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Slide 5- 7 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 7 marbles from a box of 40 marbles (20 purple, 12 red, and 8 green) one at a time with replacement, keeping track of the number of red marbles chosen. A.Not binomial: the trials are not independent. B.Procedure results in a binomial distribution. C.Not binomial: there are too many trials. D.Not binomial: there are more than two outcomes for each trial.

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Slide 5- 8 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Spinning a roulette wheel 3 times, keeping track of the occurrences of a winning number of “16”. A.Not binomial: the trials are not independent. B.Procedure results in a binomial distribution. C.Not binomial: there are too many trials. D.Not binomial: there are more than two outcomes for each trial.

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Slide 5- 9 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Spinning a roulette wheel 3 times, keeping track of the occurrences of a winning number of “16”. A.Not binomial: the trials are not independent. B.Procedure results in a binomial distribution. C.Not binomial: there are too many trials. D.Not binomial: there are more than two outcomes for each trial.

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Slide 5- 10 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=4, x=3, p=1/6 A.0.012 B.0.004 C.0.015 D.0.023

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Slide 5- 11 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=4, x=3, p=1/6 A.0.012 B.0.004 C.0.015 D.0.023

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Slide 5- 12 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=5, x=2, p=0.70 A.0.198 B.0.132 C.0.700 D.0.464

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Slide 5- 13 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=5, x=2, p=0.70 A.0.198 B.0.132 C.0.700 D.0.464

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Slide 5- 14 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=11, x=5, p=0.5 A.0.293 B.0.338 C.0.226 D.0.031

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Slide 5- 15 Copyright © 2010, 2007, 2004 Pearson Education, Inc. All Rights Reserved. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=11, x=5, p=0.5 A.0.293 B.0.338 C.0.226 D.0.031

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