A witness identified a suspect as having blond hair. However, when tested under lighting conditions similar to

Question:

A witness identified a suspect as having blond hair. However, when tested under lighting conditions similar to those on the night of the incident, it was concluded that the probability of correctly identifying blond hair is .80 and the probability of being incorrect about nonblond hair is .3. Suppose that .4 is the proportion of persons with blond hair that live in the area. Let A = [ Identified as blond] and B = [ Person is blond].

(a) Fill in the four probabilities, and the marginal totals, in the table.

(b) Given that this person was identified as blond, find the probability of being blond.