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.) In USE SALT (a) Determine both P(X S 2) and P(X < 2). P(X S 2) P(X < 2) = (b) Determine P(X 2 3). P(X 2 3) = (c) Determine P(1 sXS 2). P(1 S XS 2) =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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.)
In USE SALT
(a) Determine both P(X S 2) and P(X < 2).
P(X S 2)
P(X < 2) =
(b) Determine P(X 2 3).
P(X 2 3) =
(c) Determine P(1 < X S 2).
P(1 S X S 2) =
(d) What are E(X) and oy? (Round your answers to two decimal places.)
E(X) =
(e) In a sample of 40 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 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.) In USE SALT (a) Determine both P(X S 2) and P(X < 2). P(X S 2) P(X < 2) = (b) Determine P(X 2 3). P(X 2 3) = (c) Determine P(1 < X S 2). P(1 S X S 2) = (d) What are E(X) and oy? (Round your answers to two decimal places.) E(X) = (e) In a sample of 40 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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