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About 3% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X be the number in this sample who are allergic to peanuts. The possible values X can take are 0, 1, 2, and 3. What is the conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children suffers from this allergy? Give your answer to six decimal places. Avoid rounding within calculations. P(X = 2 | X ≥ 1) =

About 3% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X be the number in this sample who are allergic to peanuts. The possible values X can take are 0, 1, 2, and 3. What is the conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children suffers from this allergy? Give your answer to six decimal places. Avoid rounding within calculations. P(X = 2 | X ≥ 1) =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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o About 3% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X be the number in this sample who are allergic to peanuts. The possible values X can take are 0, 1, 2, and 3. What is the conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children suffers from this allergy? Give your answer to six decimal places. Avoid rounding within calculations. P(X = 2 | X ≥ 1) = Source: Adapted from R. S. Gupta et al., "The prevalence, severity, and distribution of childhood food allergy in the United States," Journal of Pediatrics, 128 (2011), pp. e9-e17.
Transcribed Image Text:o About 3% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X be the number in this sample who are allergic to peanuts. The possible values X can take are 0, 1, 2, and 3. What is the conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children suffers from this allergy? Give your answer to six decimal places. Avoid rounding within calculations. P(X = 2 | X ≥ 1) = Source: Adapted from R. S. Gupta et al., "The prevalence, severity, and distribution of childhood food allergy in the United States," Journal of Pediatrics, 128 (2011), pp. e9-e17.
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