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Question

Refer to the Psychological Science (Aug. 2011) study of fingerprint identification. Recall that when presented with prints from the same individual, a fingerprint expert will correctly identify the match 92% of the time. Consider a forensic data base of 1,000 different pairs of fingerprints, where each pair is a match. What is the probability that an expert will correctly identify fewer than 900 of the fingerprint matches?

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VerifiedAnswered 9 months ago

Answered 9 months ago

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1 of 5Given:

$\begin{align*} p&=\text{Probability of success}=92\%=0.92 \\ n&=\text{Sample size}=1000 \\ x&=\text{Number of successes}=900 \end{align*}$

The sampling distribution of the sample proportion $\hat{p}$ has mean $p$ and standard deviation $\sqrt{\frac{p(1-p)}{n}}$.

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