Refer to the Psychological Science (August 2011) study of fingerprint identification. Recall that when presented with prints from the same individual, a fingerprint expert will correctly identify the match 92% of the time. Consider a forensic database of 1,000 different pairs of fingerprints, where each pair is a match.
a. What proportion of the 1,000 pairs would you expect an expert to correctly identify as a match?
b. What is the probability that an expert will correctly identify fewer than 900 of the fingerprint matches?