# A company that makes cartons finds that the probability of producing a carton with a puncture is 0.05,the probability that a carton has a smashed…

A company that makes cartons finds that the probability of producing a carton with a puncture is 0.050.05,the probability that a carton has a smashed corner is 0.07,and the probability that a carton has a puncture and has a smashed corner is 0.0040.004. Answer parts(a) and(b) below.(a) Are the events”selecting a carton with a puncture” and”selecting a carton with a smashed corner” mutually exclusive? Explain.

A.

No, a carton can have a puncture and a smashed corner.

B.

Yes, a carton cannot have a puncture and a smashed corner.

C.

No, a carton cannot have a puncture and a smashed corner.

D.

Yes, a carton can have a puncture and a smashed corner.

(b) If a quality inspector randomly selects a carton, 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 =.