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A company that has 150 employees chooses a committee of 11 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 11 employees can be chosen from 150. (b) Use technology to find the number of ways 11 employees can be chosen from 94 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 1.49×1010 ways to choose 11 employees from 150 employees. (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) (b) There are 6.90× 10º ways to choose 11 employees from 94 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 0.005. (Do not round until the final answer. Then round to three decimal places as needed.) (d) Yes, the committee selection is most likely biased, because the probability that was found in part (c) is small.

A company that has 150 employees chooses a committee of 11 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 11 employees can be chosen from 150. (b) Use technology to find the number of ways 11 employees can be chosen from 94 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 1.49×1010 ways to choose 11 employees from 150 employees. (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) (b) There are 6.90× 10º ways to choose 11 employees from 94 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 0.005. (Do not round until the final answer. Then round to three decimal places as needed.) (d) Yes, the committee selection is most likely biased, because the probability that was found in part (c) is small.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A company that has 150 employees chooses a committee of 11 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 11 employees can be chosen from 150. (b) Use technology to find the number of ways 11 employees can be chosen from 94 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 1.49 x 10 16 ways to choose 11 employees from 150 employees. (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) 13 (b) There are 6.90x 10 ways to choose 11 employees from 94 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 0.005. (Do not round until the final answer. Then round to three decimal places as needed.) (d) Yes, the committee selection is most likely biased, because the probability that was found in part (c) is small.
Transcribed Image Text:A company that has 150 employees chooses a committee of 11 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 11 employees can be chosen from 150. (b) Use technology to find the number of ways 11 employees can be chosen from 94 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 1.49 x 10 16 ways to choose 11 employees from 150 employees. (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.) 13 (b) There are 6.90x 10 ways to choose 11 employees from 94 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 0.005. (Do not round until the final answer. Then round to three decimal places as needed.) (d) Yes, the committee selection is most likely biased, because the probability that was found in part (c) is small.
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