Question HelpA study by a reputable research organization found that when presented with prints from the same individual, a fingerprintexpert 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. What is the probability that an expert will correctly identify the match in all six pairs of fingerprints?The probability is:(Round to four decimal places as needed.)b. What is the probability that a novice will correctly identify the match in all six pairs of fingerprints?The probability is :(Round to four decimal places as needed.)

Name: Question HelpA study by a reputable research organization found that
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Question HelpA study by a reputable research organization found that when presented with prints from the same individual, a fingerprintexpert will correctly identify the match 93% of the time. In contrast, a novice will correctly identify the match

Answered: A study by a reputable research…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

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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,

$P (E) = {(P (A))}^{6}$

Substitute the given values in the above expression.

$\begin{array}{rcl} P (E) & = & {(0.93)}^{6} \\ = & 0.6470 \end{array}$

Thus, the probability that the expert identifies all the matches of six pairs is 0.647.

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