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 20 children and let X be the number in the sample who have a food allergy. Then X~ Bin(20, 0.05). (Round your probabilities to three decimal places.) LAUSE SALT (a) Determine both P(X s 3) and P(X < 3). P(XS 3) = P(X < 3) = (b) Determine P(X 2 4). P(X24)= (c) Determine P(1 ≤ x ≤ 3). P(1 S Xs 3) -

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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 20 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(20, 0.05). (Round your probabilities to three decimal places.)
USE SALT
(a) Determine both P(X ≤ 3) and P(X < 3).
P(X ≤ 3) =
P(X < 3) =
(b) Determine P(X 24).
P(X ≥ 4) =
(c) Determine P(1 ≤ x ≤ 3).
P(1 ≤ x ≤ 3) =
(d) What are E(X) and ? (Round your answers to two decimal places.)
E(X) =
ox=
(e) In a sample of 30 children, what is the probability that none has a food allergy?
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text: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 20 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(20, 0.05). (Round your probabilities to three decimal places.) USE SALT (a) Determine both P(X ≤ 3) and P(X < 3). P(X ≤ 3) = P(X < 3) = (b) Determine P(X 24). P(X ≥ 4) = (c) Determine P(1 ≤ x ≤ 3). P(1 ≤ x ≤ 3) = (d) What are E(X) and ? (Round your answers to two decimal places.) E(X) = ox= (e) In a sample of 30 children, what is the probability that none has a food allergy? You may need to use the appropriate table in the Appendix of Tables to answer this question.
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