If a package is damaged, the probability that it came from Manufacturer A is 62.5%.
Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:
- 5 + 3 = 100
- 5 = X
- 5 x 100/8 = X
- 62.5 = X
Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.
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Answer:
A.The marginal frequency for the survey is 160
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