NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 25 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(25, 0.05). (Round your probabilities to three decimal places.) (a) What are E(X) and σX? (Round your answers to two decimal places.) (b) In a sample of 30 children, what is the probability that none has a food allergy?
NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 25 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(25, 0.05). (Round your probabilities to three decimal places.) (a) What are E(X) and σX? (Round your answers to two decimal places.) (b) In a sample of 30 children, what is the probability that none has a food allergy?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 25 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(25, 0.05). (Round your probabilities to three decimal places.)
(a) What are E(X) and σX? (Round your answers to two decimal places.)
(b) In a sample of 30 children, what is the probability that none has a food allergy?
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