1. A company that makes cartons finds that the probability
1. 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 corner is 0.07, and the probability that a carton has a puncture and has a smashed corner is 0.004.
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.
Yes, a carton can have a puncture and a smashed corner.
B.
No, a carton can have a puncture and a smashed corner.
C.
No, a carton cannot have a puncture and a smashed corner.
D.
Yes, a carton cannot 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
Please show work (my brain is running slow)