An article titled “You’re Eating That?”, published in the New York Times, discussed consumer perception of food safety. The article cited research by the Food Marketing Institute, which indicates that 66% of consumers are confident that the food they buy is safe. Suppose that six consumers are randomly sampled and asked whether they are confident that the food they buy is safe. Determine the probability that the number answering in the favorable is a. At least two. b. Determine the probability distribution of the number of consumers in a sample of six who are confident that the food they buy is safe.

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An article titled “You’re Eating That?”, published in the New York Times, discussed consumer
perception of food safety. The article cited research by the Food Marketing Institute, which
indicates that 66% of consumers are confident that the food they buy is safe. Suppose that six
consumers are randomly sampled and asked whether they are confident that the food they buy is
safe. Determine the probability that the number answering in the favorable is
a. At least two.
b. Determine the probability distribution of the number of consumers in a sample of six who
are confident that the food they buy is safe.

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