Answered: The United States Department of…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.2380.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size ?=500n=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, ?,X, in Lance's sample who regularly skip breakfast is greater than 126126. You may find table of critical values helpful.

Express the result as a decimal precise to three places.

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
n= 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, X, 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.
P(X > 126) =
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.
P(X < 98) =

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