1. NBC News reported on May 2, 2013, that 1 out of 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). a. Determine both P(X<3) and P(X<3). b. Determine P(X24). c. Determine P(1

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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1. NBC News reported on May 2, 2013, that 1 out of 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).
a. Determine both P(X<3) and P(X<3).
b. Determine P(X>4).
c. Determine P(1<X<3).
d. What are E(X) and V(X)?
e. In a sample of 50 children, what is the probability that none has a food allergy?
Transcribed Image Text:1. NBC News reported on May 2, 2013, that 1 out of 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). a. Determine both P(X<3) and P(X<3). b. Determine P(X>4). c. Determine P(1<X<3). d. What are E(X) and V(X)? e. In a sample of 50 children, what is the probability that none has a food allergy?
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