URGENT! NEED STATS HELP...

Question

Fingerprint expertise
Refer to the Psychological Science (August 2011) study of fingerprint identification. 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 parts of fingerprints, where each pair is a match.
Questions
1. What is the probability that an expert will correctly identify the match in all five pairs of fingerprints?
2. What is the probability that a novice will correctly identify the match in all five pairs of fingerprints?

 

I am not sure how to go about doing this....

Answer 1

Since each attempt is independent, and there are 5 attempts, you just multiply the probabilities, with one term for each attempt.

 

So the probability that the expert will identify every pair correctly is .92 * .92 * .92 * .92 * .92 = .92⁵ = .66.

 

And the probability that the novice will identify every pair correctly is .75⁵ = .24.