The 2000 census allowed 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. If we choose a resident of the United States at random,. The 2000 census gives these probabilities:
Hispanic
Not-Hispanic
Asian
0.000
0.036
Black
0.003
0.121
White
0.060
0.691
Other
0.062
0.027
Let A be the event that a randomly chosen American identifies himself/herself as Hispanic. Let B be the event that the person identifies as white.
a) Verify that the table gives a legitimate assignment of probabilities.
b) What is P(A)
c) Describe Bc in words and find P(Bc)
d) Express “the person chosen is a non-Hispanic white” in terms of events A and B. What is the probability of this event?
