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 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 S3) and P(X < 3). P(X ≤ 3) = P(X < 3) = (b) Determine P(X 24). P(X 2 4) = (c) Determine P(1 ≤ x ≤ 3). P(1 ≤ x ≤ 3) = (d) What are E(X) and ax? (Round your answers to two decimal places.) E(X) = 0x = (e) In a sample of 80 children, what is the probability that none has a food allergy?

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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 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 ≤ 3) and P(X < 3).
P(X ≤ 3) =
P(X < 3) =
(b) Determine P(X ≥ 4).
P(X ≥ 4) =
(c) Determine P(1 ≤ x ≤ 3).
P(1 ≤ x ≤ 3) =
(d) What are E(X) and ox? (Round your answers to two decimal places.)
E(X) =
0x =
(e) In a sample of 80 children, what is the probability that none has a food allergy?
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 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 ≤ 3) and P(X < 3). P(X ≤ 3) = P(X < 3) = (b) Determine P(X ≥ 4). P(X ≥ 4) = (c) Determine P(1 ≤ x ≤ 3). P(1 ≤ x ≤ 3) = (d) What are E(X) and ox? (Round your answers to two decimal places.) E(X) = 0x = (e) In a sample of 80 children, what is the probability that none has a food allergy?
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