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 25 children and let X be the number in the sample who have a food allergy. Then X~ Bin(25, 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(XZ 3) = (c) Determine P(1 ≤ X S 2). P(1 S XS 2) = (d) What are E(X) and ax? (Round your answers to two decimal places.) E(X) = ox= (e) In a sample of 80 children, what is the probability that none has a food allergy?
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 25 children and let X be the number in the sample who have a food allergy. Then X~ Bin(25, 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(XZ 3) = (c) Determine P(1 ≤ X S 2). P(1 S XS 2) = (d) What are E(X) and ax? (Round your answers to two decimal places.) E(X) = ox= (e) In a sample of 80 children, what is the probability that none has a food allergy?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 25 children and let X be the number in the sample who have a food allergy. Then X~ Bin(25, 0.05). (Round your
probabilities to three decimal places.)
USE SALT
(a) Determine both P(X ≤ 2) and P(X < 2).
P(X ≤ 2) =
P(X < 2) =
(b) Determine P(X ≥ 3).
P(X ≥ 3) =
(c) Determine P(1 ≤ x ≤ 2).
P(1 ≤ x ≤ 2) =
(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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