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A filing cabinet contains 500 files. Of these, 80 contain processing errors. A random sample of 8 files is selected from the filing cabinet. If

A filing cabinet contains 500 files. Of these, 80 contain "processing errors". A random sample of 8 files is selected from the filing cabinet. IfXis the number of files in the sample that contain processing errors, what can be said about the distribution ofX?

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a.Xhas an approximate binomial distribution with parameters 80 and 0.1.

b.Xhas an approximate normal distribution with mean 8 and standard deviation 2.68.

c.The distribution ofXcannot be approximated by a normal distribution or a binomial distribution.

d.Xhas an approximate binomial distribution with parameters 8 and 0.16.

e.Xhas an approximate normal distribution with mean 1.28 and standard deviation 1.04.

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