There are a total of 27 people in an application pool, that are equally qualified for a job. The pool consists of; 19 females  and 8 males  There are 4 job openings for 4 different people. Type your answers as a decimal to 4 decimal places.  1. What is the probability that all 4 people are male?    2. If all 4 people that are hired are male, does your answer to the previous problem indicate that this was due to gender bias in the hiring process? Note: If the probability of randomly hiring only males for the 4 open positions is less than 5%, then we will say that this is so unlikely, that there is gender bias in the hiring process. Yes, this supports a charge of gender dicrimination. There is less than a 1% chance that this could happen by chance Yes, this supports a charge of gender discrimination. There is less than a 5% chance that this could happen by chance No, this does not support a charge of gender discrimination. It is impossible to tell.   3. What is the probability that all of the 4 people are female?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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30.  There are a total of 27 people in an application pool, that are equally qualified for a job. The pool consists of;

19 females  and 8 males

 There are 4 job openings for 4 different people. Type your answers as a decimal to 4 decimal places. 

1. What is the probability that all 4 people are male?   

2. If all 4 people that are hired are male, does your answer to the previous problem indicate that this was due to gender bias in the hiring process?
Note: If the probability of randomly hiring only males for the 4 open positions is less than 5%, then we will say that this is so unlikely, that there is gender bias in the hiring process.

  • Yes, this supports a charge of gender dicrimination. There is less than a 1% chance that this could happen by chance
  • Yes, this supports a charge of gender discrimination. There is less than a 5% chance that this could happen by chance
  • No, this does not support a charge of gender discrimination.
  • It is impossible to tell.

 

3. What is the probability that all of the 4 people are female?   

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