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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)

 
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