Laveist and Nuru-Jeter (A-4) conducted a study to determine if doctor–patient race concordance was associated with greater satisfaction with care. Toward that end, they collected a national sample of African-American, Caucasian, Hispanic, and Asian-American respondents. The following table classifies the race of the subjects as well as the race of their physician:

Patient’s Race Physician’s Race Caucasian AfricanAmerican Hispanic AsianAmerican Total White 779 436 406 175 1796 African-American 14 162 15 5 196 Hispanic 19 17 128 2 166 Asian=Pacific-Islander 68 75 71 203 417 Other 30 55 56 4 145 Total 910 745 676 389 2720 Source: Thomas A. Laveist and Amani Nuru-Jeter, “Is Doctor–Patient Race Concordance Associated with Greater Satisfaction with Care?” Journal of Health and Social Behavior, 43 (2002), 296–306.

(a) What is the probability that a randomly selected subject will have an Asian=Pacific-Islander physician?

(b) What is the probability that an African-American subject will have an African-American physician?

(c) What is the probability that a randomly selected subject in the study will be Asian-American and have an Asian=Pacific-Islander physician?

(d) What is the probability that a subject chosen at random will be Hispanic or have a Hispanic physician?

(e) Use the concept of complementary events to find the probability that a subject chosen at random in the study does not have a white physician.