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 93% of the time. In contrast, a novice will correctly identify the match 76% of the time. Consider a sample of six different pairs of fingerprints, where each pair is a match. Complete parts a and b below.
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 93% of the time. In contrast, a novice will correctly identify the match 76% of the time. Consider a sample of six different pairs of fingerprints, where each pair is a match. Complete parts a and b below.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Step 1
Given data:
The probability that fingerprint experts correctly identify the match is P(A)=93%=0.93.
The probability that novice correctly identifies the match is P(B)=76%=0.76.
The numbers of pairs are n=6.
(a)
The expression for the probability that the expert identifies all the match of six pairs is,
Substitute the given values in the above expression.
Thus, the probability that the expert identifies all the matches of six pairs is 0.647.
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