A company that has 250 employees chooses a committee of 14 to represent employee retirement issues. When the committee is

Question

A company that has 250 employees chooses a committee of 14 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 14 employees can be chosen from 250.
(b) Use technology to find the number of ways 14 employees can be chosen from 194 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
(b) There are
(Use scientific
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ways to choose 14 employees from 250 employees.
notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.)
ways to choose 14 employees from 194 nonminorities.
notation. Round to two decimal places as needed. Use the multiplication symbol in the math palette as needed.)

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