A company that has 200 employees chooses a committee of 16 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 16 employees can be chosen from 200.   ​(b) Use technology to find the number of ways 16 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.   ​(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as​ needed.)

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ISBN:9781119256830
Author:Amos Gilat
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A company that has 200 employees chooses a committee of
16 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 16 employees can be chosen from 200.
 
​(b) Use technology to find the number of ways 16 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.
 
​(Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as​ needed.)
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