SOLUTION: 17) Among the 25 invoices prepared by a billing department, 5 contain errors while the others do not. If we randomly check 3 of these invoices, what are the probabilities that a.

Question 870422: 17) Among the 25 invoices prepared by a billing department, 5 contain errors while the others do not. If we randomly check 3 of these invoices, what are the probabilities that
a. All three will contain errors
b. Neither will contain errors
c. At least one will contain errors

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
p(errors) = 5/25 = 1/5 = .2, n = 3 (check 3)
a) P(all contain errors) = (.2)^3
b) P(none contain errors) = (.8)^3
c) P(at least one) = 1- P(none) = 1-(.8)^3
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