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Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of the trend in the design of social robots, Exercise 4.25 (p. 193). The study found that of 106 social robots, 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels and 15 with neither legs nor wheels. Suppose

Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of the trend in the design of social robots, Exercise 4.25 (p. 193). The study found that of 106 social robots, 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels and 15 with neither legs nor wheels. Suppose

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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probability distribution should you use to compute this probability under the conditions listed here? Justify your answers. a. The sample is drawn without replacement. b. The sample is drawn with replacement. Applying the Concepts-Basic 4.116 Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of the trend in the design of social robots, Exercise 4.25 (p. 193). The study found that of 106 social robots, 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. Suppose you randomly select 10 of the 106 social robots and count the number, x, with neither legs nor wheels. a. Demonstrate why the probability distribution for x should not be approximated by the binomial distribution. b. Show that the properties of the hypergeometric proba- bility distribution are satisfied for this experiment. c. Find u and o for the probability distribution for x. d. Calculate the probability that x = 2. NW 4.117 Mail rooms contaminated with anthrax. In Chance (Spring 2002), research statisticians discussed the problem of sampling mail rooms for the presence of anthrax spores. Let x equal the number of mail rooms contaminated with anthrax spores in a random sample of 3 mail rooms se- lected from a population of 100 mail rooms. If 20 of the 100 mail rooms are contaminated with anthrax, research-
Transcribed Image Text:probability distribution should you use to compute this probability under the conditions listed here? Justify your answers. a. The sample is drawn without replacement. b. The sample is drawn with replacement. Applying the Concepts-Basic 4.116 Do social robots walk or roll? Refer to the International Conference on Social Robotics (Vol. 6414, 2010) study of the trend in the design of social robots, Exercise 4.25 (p. 193). The study found that of 106 social robots, 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. Suppose you randomly select 10 of the 106 social robots and count the number, x, with neither legs nor wheels. a. Demonstrate why the probability distribution for x should not be approximated by the binomial distribution. b. Show that the properties of the hypergeometric proba- bility distribution are satisfied for this experiment. c. Find u and o for the probability distribution for x. d. Calculate the probability that x = 2. NW 4.117 Mail rooms contaminated with anthrax. In Chance (Spring 2002), research statisticians discussed the problem of sampling mail rooms for the presence of anthrax spores. Let x equal the number of mail rooms contaminated with anthrax spores in a random sample of 3 mail rooms se- lected from a population of 100 mail rooms. If 20 of the 100 mail rooms are contaminated with anthrax, research-
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