Fingerprint expertise. Refer to the Psychological Science

(Aug. 2011) study of fingerprint identification, Exercise 4.74

(p. 240). 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?