A company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected. (a) Use technology to find the number of ways 15 employees can be chosen from 200. (b) Use technology to find the number of ways 15 employees can be chosen from 144 nonminorities. (c) What is the probability that the committee contains no minorities when the committee is chosen randomly (without bias)? (d) Does your answer to (c) indicate that the committee selection is biased? Explain your reasoning.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee is formed, none of the
56 minority employees are selected.
(a) Use technology to find the number of ways 15 employees can be chosen from 200.
(b) Use technology to find the number of ways 15 employees can be chosen from 144 nonminorities.
(c) What is the probability that the committee contains no minorities when the committee is chosen randomly (without bias)?
(d) Does your answer to (c) indicate that the committee selection is biased? Explain your reasoning.
(a) There are
(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.)
ways to choose 15 employees from 200 employees.
(b) There are
ways to choose 15 employees from 144 nonminorities.
(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.)
(c) The probability is
(Do not round until the final answer. Then round to three decimal places as needed.)
(d)
the committee selection is most likely
because the probability that was found in part (c) is
Enter your answer in each of the answer boxes
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Transcribed Image Text:A company that has 200 employees chooses a committee of 15 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected. (a) Use technology to find the number of ways 15 employees can be chosen from 200. (b) Use technology to find the number of ways 15 employees can be chosen from 144 nonminorities. (c) What is the probability that the committee contains no minorities when the committee is chosen randomly (without bias)? (d) Does your answer to (c) indicate that the committee selection is biased? Explain your reasoning. (a) There are (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) ways to choose 15 employees from 200 employees. (b) There are ways to choose 15 employees from 144 nonminorities. (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) (c) The probability is (Do not round until the final answer. Then round to three decimal places as needed.) (d) the committee selection is most likely because the probability that was found in part (c) is Enter your answer in each of the answer boxes >> Desktop > 日 W earch
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