A company that makes cartons finds that the probability of producing a carton with a puncture is 0.03, the probability that a carton has a smashed corner is , 0.09 and the probability that a carton has a puncture and has a smashed corner is 0.003 Answer parts (a) and (b) below.

a) Are the events"selecting a carton with apuncture" and"selecting a carton with a smashedcorner" mutuallyexclusive? Explain. (b) If a quality inspector randomly selects acarton, find the probability that the carton has a puncture or has a smashed corner. The probability that a carton has a puncture or a smashed corner is nothing. (Type an integer or a decimal. Do notround.)