The 2000 census allowed each person to choose from a long list of races. That is, in the eyes of the Census Bureau ...

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?