This Question: 1 pt A company that makes cartons finds that the probability of p

Question

This Question: 1 pt A company that makes cartons finds that the probability of producing a a smashed corner is 0.003. Answer parts (a) and (b) below. (a) Are the events "selecting a carton with a puncture" and "selecting a c A. Yes, a carton cannot have a puncture and a smashed corner. O B. No, a carton cannot have a puncture and a smashed corner. ° C. No, a carton can have a puncture and a smashed corner. 0 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 probability that a carton has a puncture or a smashed corner is []

Explanation / Answer

1. As P(Carton and smashed corner) = 0.003 which is >0, a carton can have a puncture and a smashed corner. So these 2 events are not mutually exclusive.

Answer:Option C.

2. P(Carton or smashed corner) = P(Carton) + P(Smashed corner) - P(Carton and smashed corner)

= 0.1 + 0.03 - 0.003 = 0.127

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