2. A farmer ships many cartons of eggs every day. Two inspectors independently glance at each carton to determine whether there are any cracked eggs, and each of them has a 0.8 probability of noticing when a carton contains any cracked eggs. a) What is the probability that a carton with cracked eggs will get past both inspectors? b] What is the probability that a carton with cracked eggs will be noticed by at least one inspector? c] Suppose a third [inexperienced] inspector is hired who has a probability of only .6 of noticing when a carton contains one or more cracked eggs. What is the probability that a carton with cracked eggs will get past all three inspectors? d) What is the probability that a carton containing cracked eggs will be noticed by at least one of these three inspectors