solution

 

. Annually, the U.S. Census Bureau provides estimates of a variety of demographic characteristics of the U.S. population. In terms of categorizing people by race, the bureau divides the population into those of “Hispanic” origin and those not.Within these two origin categories, a person can be associated with one of several races. For 2007, the bureau gives the following probability estimates:

$1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn  Hispanic$1rn $1rn $1rn $1rn $1rn $1rn   Not Hispanic

Asian$1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn 0.001$1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn  0.043

Black$1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn   0.006$1rn $1rn $1rn $1rn $1rn $1rn $1rn$1rn 0.123

White$1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn  0.139$1rn $1rn $1rn $1rn $1rn $1rn $1rn$1rn 0.660

Other$1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn $1rn   0.005$1rn $1rn $1rn $1rn $1rn $1rn $1rn$1rn 0.023

(a) What is the probability that a randomly chosen person is white?

(b) You know that the person chosen is of Hispanic origin. What is the conditional probability that this person is white?