CHAPTER 3 PROBABILITY: THE BASIS OF STATISTICAL INFERENCE 3.4.4 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 Asian- African- American Hispanic American Total Physician's Race Caucasian 175 White 779 436 406 1796 15 5 African-American 14 162 196 17 128 2 Hispanic 19 166 71 203 Asian /Pacific-Islander 68 75 417 55 56 4 Other 30 145 Total 745 676 389 910 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. 3.4.5 If the probability of left-handedness in a certain group of people is .05, what is the probability of right-handedness (assuming no ambidexterity)? 3.4.6 The probability is .4 that a patient selected at random from the current residents of a certain hospital will be a male. The probability that the patient will be a male who is in for surgery is . 15. A patient randomly selected from current residents is found to be a male; what is the probability that the patient is in the hospital for surgery