USDA chicken inspection. The United States Department of Agriculture (USDA) reports that, under its standard inspection system,

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USDA chicken inspection. The United States Department of Agriculture (USDA) reports that, under its standard inspection system, one in every 100 slaughtered chickens passes inspection for fecal contamination.

a. If a slaughtered chicken is selected at random, what is the probability that it passes inspection for fecal contamination?

b. The probability of part a was based on a USDA study that found that 306 of 32,075 chicken carcasses passed inspection for fecal contamination. Do you agree with the USDA’s statement about the likelihood of a slaughtered chicken passing inspection for fecal contamination?

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