2.99
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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 h air is .80 and the probability of being incorrect about non blond h air 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.