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1. Suppose an airport scanning device has 98% accuracy in detecting certain kinds of metal objects (98% of people carrying these objects are correctly identified as carriers and 98% of people not carrying them are correctly identified as non-carriers). Suppose that 1% of all travelers actually carry such metal objects. For the 100,000 people who pass through the scanning device each week, do the following:
a. Find the number of people not carrying metal objects who are identified as carriers (false positives).
b. Find the number of non-carriers who are identified as non-carriers (true negatives).
c. Find the number of carriers who are identified as non- carriers (false negatives).
d. Find the number of carriers who are identified as carriers (true positives).
e. What percentage of the people identified as carriers are falsely identified?
It is a striking fact that the first digits of numbers in legitimate records often follow a distribution known as Benford's Law, shown below.
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Calculate an 85% confidence interval for the population mean number of wolf pups per den at southwestern United States (US).
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A Starbucks manager decides to study waiting times of customers for service at the lunch time rush hour 1100-1200. He observes three customers to measure the time the customer enters the line to the time he or she reaches the counter.
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