MATH SOLVE

3 months ago

Q:
# A 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 probablity that a novice will correctly identifity the match in all five pairs of fingerprints?

Accepted Solution

A:

Answer:a) probability that an expert will correctly identify the match in all five pairs of fingerprints =0.6591 = 65.9%b) probability that a novice will correctly identify the match in all five pairs of fingerprints =0.2373 = 23.7%Step-by-step explanation:from the question, probability that the expert gets the fingerprint right say Pr(expert1) is 92% that is 0.92 and probability that the novice gets the fingerprint right say Pr(novice1) is 75% that is 0.75.given 5 fingerprints,a) the probability that the expert gets them all right say Pr(expert5) = probability that the expert gets one right raised to the power 5i.e Pr(expert5) = Pr(expert1)^5 = (0.92)^5 = 0.6591 = 65.9%b) the probability that the novice gets them all right say Pr(novice5) = probability that the novice gets one right raised to the power 5i.e Pr(novice5) = Pr(novice1)^5 =(0.75)^5 = 0.2373 = 23.7%