According to a newspaper report, in 2 million lie detector tests, 300,000 were estimated to have produced erroneous results. Assuming these firgures to be correct, answer the following:

(a) If ten tests were picked at random from these 2 million tests, what would be the chance that at least one of them produced an erroneous result?

(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 mahine, 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.