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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
icon
Related questions
Question
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-
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning