Race and ethnicity The Census Bureau allows each person to choose from a long list of races. That is, in the eyes of the Census Bureau, you belong to whatever race you say you belong to. Hispanic (also called Latino) is a separate category. Hispanics may be of any race. If we choose a resident of the United States at random, the Census Bureau gives these probabilities:25 Hispanic Not Hispanic Asian 0.001 0.044 Black 0.006 0.124 White 0.139 0.674 Other 0.003 0.009

(a) Verify that this is a legitimate assignment of probabilities.

(b) What is the probability that a randomly chosen American is Hispanic?

(c) Non-Hispanic whites are the historical majority in the United States. What is the probability that a randomly chosen American is not a member of this group?

(d) Explain why P(white or Hispanic) ≠ P(white) +

P(Hispanic). Then find P(white or Hispanic).