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NBC News reported on May 2, 2013, thot 1 in 20 children in the United States have e food allergy of some sort. Consider selecting a random sample of 15 children and let X be the number in the sample who have a food allergy. Then X Bi1,.). (Round your probabilities to three decimal places.) (a) Determine both P(X S 3) and P(X 3) P(X s 3) (b) Determine P(X 4) A(X24) . () Determine P[1 sXS 3), What are ECX) and X? (Round your answers to two decimal places.) Ex) 0.75 (d) (e) In a sample of 60 children, what is the probability thet none has a food allergy? 0.046 You may need to use the appropriate table in the Appendix of Tables to answer this question.

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15 i5 5 0 366 13 0.005

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