A company that makes cartons finds that the probability of producing a carton with a puncture is 0.03, the probability that a c

Question

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A company that makes cartons finds that the probability of producing a carton with a puncture is 0.03, the probability that a c

arton has a smashed corner is 0.08, and the probability that a carton has a puncture and has a smashed corner is 0.002. 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 cannot have a puncture and a smashed corner. B. No, a carton can have a puncture and a smashed corner. Your answer is correct.C. Yes, 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 nothing.

Mathematics

1 answer:

matrenka [14] · Answer 1 · 2022-01-02T00:26:04+03:00

Answer:

(a) Having a smashed corner need to now not depend on whether or not the carton had a puncture or not,

so these occasions have to be independent.

One manner to check it the usage of the given probabilities:

If P(A)P(B) = P(A and B), then the events are independent.

Here we have : (0.05)(0.08) which is 0.004, that is P(A and B), so the events are independent.

(b) P(A or B) = P(A)+P(B)-P(A and B) = 0.05 + 0.08 – 0.004 = 0.126

Step-by-step explanation:

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A company that makes cartons finds that the probability of producing a carton with a puncture is 0.03​, the probability that a c

A company that makes cartons finds that the probability of producing a carton with a puncture is 0.03, the probability that a c