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About 2% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X be the

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About 2% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X be the number in this sample 1who are allergic to peanuts. The possible values X can take are D, l, 2, and 3. Make a threestage tree diagram of the outcomes (allergic or not allergic) for the three individuals and use it to nd the probability distribution of X. Give your answers to six decimal places

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