Suppose that the four inspectors at a film factory are supposed to stamp the expiration date on each package of film at the end of the assembly line. john, who stamps 20% of the packages, fails to stamp the expiration date once in every 200 packages; tom, who stamps 60% of the packages, fails to stamp the expiration date once in every 100 packages; jeff, who stamps 15% of the packages, fails to stamp the expiration date once in every 90 packages; and pat, who stamps 5% of the packages, fails to stamp the expiration date once in every 200 packages. if a customer complains that her package of film does not show the expiration date, what is the probability that it was inspected by john?
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