Image transcription textNBC News reported on May 2, 20

Image transcription textNBC 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 15 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(15, 0.05). (Round your probabilities to three decimal places.) USE SALT (a) Determine both P(X S 2) and P(X < 2). P(X = 2) = P ( X < 2 ) = (b) Determine P(X 2 3). P (X 2 3 ) = (c) Determine P(1 S X S 2). P(1 s X s 2) = (d) What are E(X) and ox? (Round your answers to two decimal places.) E(X) = ox = (e) In a sample of 60 children, what is the probability that none has a food allergy?... Show more MathStatistics and Probability STATS 7