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) = 0.142 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 σx? (Round your answers to two decimal places.) E(X) = (e) In a sample of 50 children, what is the probability that none has a food allergy?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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)
=
0.142
(b) Determine P(X ≥ 4).
P(X≥ 4) =
(c) Determine P(1 ≤ x ≤ 3).
P(1 ≤ X ≤ 3) =
(d) What are E(X) and σx? (Round your answers to two decimal places.)
E(X)
σχ
=
=
(e) In a sample of 50 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) = 0.142 (b) Determine P(X ≥ 4). P(X≥ 4) = (c) Determine P(1 ≤ x ≤ 3). P(1 ≤ X ≤ 3) = (d) What are E(X) and σx? (Round your answers to two decimal places.) E(X) σχ = = (e) In a sample of 50 children, what is the probability that none has a food allergy?
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