Question: Lie detectors. According to a newspaper report, in 2 million lie detector test, 300,000were estimated to have produced erroneous results. Assuming these figures to be correct, answer the following:
a) If ten tests were picked at random from these 2 million test, what would be the chance that at least one of them produced an erroneous result? Sketch the histogram of the distribution of the number of erroneous results these ten tests.
b) Suppose these 2 million tests were done on a variety of machines. If a machine were picked at random, then ten tests picked at random from these tests performed on that machine, would it be reasonable to suppose that the chance that at least one of them produced an erroneous result would be the same as in a)? Explain.