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?

Requests to a Web server. In Exercise $4.175$ (p. 258) you learned that Brighton Webs LTD modeled the arrival time of requests to a Web server within each hour, using a uniform distribution. Specifically, the number of seconds $x$ from the start of the hour that the request is made is uniformly distributed between 0 and 3,600 seconds. In a random sample of $n=60$ Web server requests, let $\bar{x}$ represent the sample mean number of seconds from the start of the hour that the request is made. Find the probability that $\bar{x}$ is between 1,700 and 1,900 seconds.

Requests to a Web server. In Exercise $4.175$ (p. 258) you learned that Brighton Webs LTD modeled the arrival time of requests to a Web server within each hour, using a uniform distribution. Specifically, the number of seconds $x$ from the start of the hour that the request is made is uniformly distributed between 0 and 3,600 seconds. In a random sample of $n=60$ Web server requests, let $\bar{x}$ represent the sample mean number of seconds from the start of the hour that the request is made. Describe the shape of the sampling distribution of $\bar{x}$.

Stock market participation and IQ. Refer to The Journal of Finance (December 2011) study of whether the decision to invest in the stock market is dependent on IQ, Exercise $3.46$ (p. 158). The researchers found that the probability of a Finnish citizen investing in the stock market differed depending on IQ score. For those with a high IQ score, the probability is $.44$; for those with an average IQ score, the probability is .26; and for those with a low IQ score, the probability is 14. In a random sample of 500 Finnish citizens with low IQ scores, what is the probability that more than 150 invest in the stock market?

Refer to the results of the North American Hotel Guest Satisfaction Index Study. Recall that 66% of hotel guests were aware of the hotel's "green" conservation program; of these guests, 72% actually participated in the program by reusing towels and bed linens. In a random sample of 100 hotel guests, find the probability that fewer than 42 were aware of and participated in the hotel's conservation efforts.

Stock market participation and IQ. Refer to The Journal of Finance (December 2011) study of whether the decision to invest in the stock market is dependent on IQ, Exercise $3.46$ (p. 158). The researchers found that the probability of a Finnish citizen investing in the stock market differed depending on IQ score. For those with a high IQ score, the probability is $.44$; for those with an average IQ score, the probability is .26; and for those with a low IQ score, the probability is 14. In a random sample of 500 Finnish citizens with average IQ scores, what is the probability that more than 150 invest in the stock market?