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 central limit theorem to find the probability that the number of individuals, , in Lance's sample who regularly skip breakfast is greater than 126 . You may find table of critical values helpful.

Express the result as a decimal precise to three places.
(>126)=

Part 2: 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 98 . Express the result as a decimal precise to three places.

(<98)=