A company that makes cartons finds that the probability of producing a carton wi

Question

A company that makes cartons finds that the probability of producing a carton with a puncture is 0,04 the probabilitythat a carton has a smashed comer is 009,a 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 puncturet" and "selecting a carton with a smashed comer mutually exclusive? Explain A. No, a carton cannot have a puncture and a smashed corner. O B. Yes, a carton cannot have a puncture and a smashed comer O C. Yes a carton can have a puncture and a smashed coner D. No, 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 corners (Type an integer or a decimal Do not round) Click to select your answerrs) This coune MATH 2320 This course I ATH 2320 se to 62 int to Stati & Pa b al om 1 as d Lara Elementary Statistics

Explanation / Answer

a) here P(puncture) =0.04 and P(smashed corner)=0.09 also P(puncture and smashed corner )=0.004

as P(puncture and smashed corner ) is not equal to 0

therefore option D is correct

b) probability =0.04+0.09-0.004=0.126

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