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The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39...

The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size ?=500 of young adults ages 20–39 in the United States.

Apply the normal to find the probability that the number of individuals, X, in Lance's sample who regularly skip breakfast is greater than 123. You may find table of critical values helpful.

Express the result as a decimal precise to three places.

?(?>123)=

Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 102. Express the result as a decimal precise to three places.

?(?<102)=

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