3. (4) 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. Ahmet, who stamps 20% of the packages, fails to stamp the expiration date at arate of 0.005; Mehmet, who stamps 60% of the packages, fails to stamp the expiration date at a rate of 0.01; Hasan, who stamps 15% of the packages, fails to stamp the expiration date at a rate of 0.011; and Mahmut, who stamps 5% of the packages, fails to stamp the expiration date at a rate of 0.005 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 Ahmet?(30) (First define the events in the problem and then solve it)