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oters 4, 5, 6 Question 2 of 13 - X Medical school faculty gender and rank K The following contingency table cross-classifies medical school faculty by the characteristics gender and rank. Gender Click the icon to view the medical school faculty contingency table. Male Female G2 Total Professor 21,496 3,168 24,664 a. Find P (R3) Associate professor 16,153 5,393 21,546 P(R3) = R2 (Type an integer or decimal rounded to three decimal places as needed.) Assistant Rank professor 25,616 14,495 40,111 b. Find P (R3 | G1 ) R3 Instructor P(R3 |G1) = RA 5,993 5.240 11,233 (Type an integer or decimal rounded to three decimal places as needed.) Other 508 826 1,334 RS c. Are events G, and R3 independent? Total 69,766 29,122 98,888 O A. No. Events G, and R3 are only independent if P (R3) # P(R3 | G, )- O B. Yes. Events G, and R3 are independent because P (R3) = P (R3 |G,) Print Done O C. Yes. Events G, and R3 are independent because P (R3) #P(R3 | G1) O D. No. Events G, and R3 are only independent if P (R3) = P(R3 |G, ) d. For a medical school faculty member, is the event that the person is female independent of the event that the person is an associate professor? Select the correct choice below and fill in the answer box(es) to complete your choice. O A. No, because P (R2) = and P (R2 |G2) = and P (R2) #P (R2 | G2) (Type integers or decimals rounded to three decimal places as needed.) O B. Yes, because P (R2) = and P (R2 |G2) = and P (R2) #P(R2 | G2) . (Type integers or decimals rounded to three decimal places as needed.) O C. No, because P (R2) = P(R2 |G2) =. (Type an integer or decimal rounded to three decimal places as needed.) O D. Yes, because P (R2) = P (R2 |G2) =. (Type an integer or decimal rounded to three decimal places as needed.)