Chickens with fecal contamination. 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 (Tampa Tribune, Mar. 31, 2000). In Exercise 3.21 (p. 128), you found the probability that a randomly selected slaughtered chicken passes inspection for fecal contamination. Now find the probability that, in a random sample of 5 slaughtered chickens, at least one passes inspection for fecal contamination.
Reference: In Exercise 3.21
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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