This question stems from a real-life story that shows how people come up with pr

Question

This question stems from a real-life story that shows how people come up with probabilities. the U.S. Department of Agriculture (USDA) reports that, under its standard inspection system, one in every 100 slaughtered chickens passes inspection with fecal contamination. If a slaughtered chicken is selected at random, what is the probability that it passes inspection with fecal contamination? the probability you get in Q.2.a was based on a USDA study that found that 306 out of 32, 075 chicken carcasses passed inspection with fecal contamination. Do you agree with the USDA's statement about the likelihood of a slaughtered chicken passing inspection with fecal contamination? Why?

Explanation / Answer

2 a) Given,

1 out of every 100 slaughtered chickens passes inspection with fecal contamination. So,

P(Randomly selected chicken passes inspection with fecal contamination)

= 1/100

= 0.01

2 b) No, it is hard to agree withthe USDA's statement about the likelihood of a slaughtered chicken passing inspection with fecal contamination because according to this study, only 1% of the chicken slaughted will pass the ispection so the success rate is very low.

This indicates that 99% of the slaughtered chicken are contaminated which is unusally high proportion.

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