Question

A study by a reputable research organization found that when presented with prints from the same​ individual, a fingerprint expert will correctly identify the match ​% of the time. In​ contrast, a novice will correctly identify the match ​% of the time. Consider a sample of different pairs of​ fingerprints, where each pair is a match. Complete parts a and b below. a. What is the probability that an expert will correctly identify the match in all pairs of​ fingerprints? The probability is nothing. ​(Round to four decimal places as​ needed.)

Answer 1

0.5578

Explanation:

Fingerprint correctly match 92 % of the time.

A novice that will correctly identify a match 75​% the time.

Each of the attempts of matching a fingerprint with the individual is independent.

The number of pairs are 7.

a). So the probability that the expert will identify every pair correctly is

= 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92= 0.927 = 0.5578