For the following problem, refer to the contingency table for U.S. surgeons, cross classified by specialty and base of practice shown below.
| | Office | Hospital | Other | Total |
| General Surgery | 24,128 | 12,225 | 1,658 | 38,011 |
| Obstetrics/Gynecology | 24,150 | 6,734 | 1,140 | 32,024 |
| Orthopedics | 13,364 | 4,248 | 414 | 18,026 |
| Ophthalmology | 12,328 | 2,694 | 518 | 15,540 |
| Total | 73,970 | 25,901 | 3,730 | 103,601 |
a) Find the conditional distribution of base of practice by specialty.
b) Find the marginal distribution of base of practice.
c) Is there an association between base of practice and specialty? Answer yes or no.
d) Without doing further calculations, use your answer from part c) to answer true or false to the following statement. "The conditional distributions of specialty by base of practice are not identical."
You can earn partial credit on this problem.