The table below shows how many male and female applicants we…

The table below shows how many male and female applicants were hired at a large company.  Hired Not Hired Total Male 145 75 220 Female 60 30 90 Total 205 105 310 (a) Find the probability that an applicant was hired given that it was a male applicant.  (b) Find the probability that an applicant was a male given that the applicant was hired.  Write ONLY your answer(s) in the box below. On your own paper, show all your work and justify your answer(s). You will be submitting the paper at the end of this test.     

An association is voting on the type of food for their confe…

An association is voting on the type of food for their conference. The results are as follows:  # votes 12 10 8 5 1st choice Italian French Chinese Chinese 2nd choice French Italian French Italian 3rd choice Chinese Chinese Italian French (a) Which food wins by plurality? (3 pts.) (b) Which food wins by the Instant Runoff Voting? (4 pts.) (c) Is there a Condorcet winner? If so, identify it. (3 pts.) Write ONLY your answers in the box below. On your own paper, show all your work and justify your answers. You will be submitting the paper at the end of this test. Credit will not be given unless you show your work. 

The table below shows how many male and female applicants we…

The table below shows how many male and female applicants were hired at a large company.  Hired Not Hired Total Male 140 80 220 Female 60 50 110 Total 200 130 330 (a) Find the probability that an applicant was hired given that it was a male applicant.  (b) Find the probability that an applicant was a male given that the applicant was hired.  Write ONLY your answer(s) in the box below. On your own paper, show all your work and justify your answer(s). You will be submitting the paper at the end of this test.