A company that has 150 employees chooses a committee of 11 to represent employee retirement issues....
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.
Homework Answers
Solution:-
(a) 150C11 = 14885236522829400
(b) 94C11 = 69042324974532
(c) (150C11)/(94C11) = 69042324974532/14885236522829400 = 0.0046
(d) => yes,The probability in part (c) is less than 0.05,which indicates that the event is very unlikely to occur by chance and thus the committe selection appears to be biased.
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