A company that has 200 employees chooses a commitee of 12 to represent employee

Question

A company that has 200 employees chooses a commitee of 12 to represent employee retirement issues. When the committee is formed, none selected (a) Use technology to find the number of ways 12 employees can be chosen from 200. (b) Use technology to find the number of ways 12 employees can be chosen from 144 nonminonities (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 commitee selection is biased? Explain your reasoning. (a) There are ways to choose 12 employees from, 200 employees (Use scientific notation. Round to two decimal places as needed. Use the multiplication symbol in the math palete as needed.) (D) There are ways to choose 12 employees from, 144 nonminorities. (Use scientfic notation. Round to two decimal places as needed. Use the multipication symbol in the math palete as needed.) (c) The probatity is (Do not round unti the nal answer. Then round to three decimal places as needed.) (d) | " most lkely | because the probablity that was found in part (c) is | | the committee selecion

Explanation / Answer

a) There are 200C12 ways to choose 12 employees from 200 employee

Answer: 6.11* 1018

b) 144C12 ways to choose 12 emploee from 144 nonminorities

Answer: 1.04*1017

c) Prob = 144C12/200C12 = 0.017

d) The probability calculated in (c) does not indicate that the committee selection is biased

Yes the committee selection is most likely unbiased because the probabilty that was found in part (C) is 0.017

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