Assume that four inspectors at film factory are assume to stamp the expiration date on each package of film at end of assembly line. John, who stamps 20% of packages, fails to stamp the expiration date once in every 200 packages. Tom, who stamps 60% of the packages, fails to stamp expiration date once in every 100 packages. Jeff who stamps 15% of packages, fails to stamp the expiration date once in every 90 packages. And Pat who stamps remaining packages fails to stamp expiration date once in every 200 packages. If customer complains that her package of film doesn't show the expiration date, determine the probability that is was inspected by John?