Below are listed the numbers of doctors in three specialties (from the World Almanac) by their gender . "identity. ' Pathology Pediatrics Psychiatry ' 2292 1 27803 If you choose 1 doctor at random. 3) [3 pts] Find P(maielpediatrician). Provide a summary statement of your finding. b) [3 pts] Find P(pathologist| female). Provide a summary statement of your finding. c) [3 pts] Find the P(female). Provide a summary statement of your finding. d) [3 pts] Find the P(pathologist). Provide a summary statement of your finding. e) [3 pts] Find the P(female n pathologist). Provide a summary statement of your nding. f) [3 pts] Are the characteristics \"female\" and \"pathologist\" independent? (Make sure to justify your answer by showing the underlying math to support your answer.)