Fingerprint expertise. Refer to the Psychological Science

(Aug. 2011) study of fingerprint identification, Exercise 3.140

(p. 200). The study found that when presented with prints from the same individual, a fingerprint expert will correctly identify the match 92% of the time. In contrast, a novice will correctly identify the match 75% of the time.

Consider a sample of five different pairs of fingerprints where each pair is a match.

a. What is the probability that an expert will correctly identify the match in all five pairs of fingerprints?

b. What is the probability that a novice will correctly identify the match in all five pairs of fingerprints?