# According to a July 31, 2013, posting on cnn.com

## Problem 51E Chapter 2

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 51E

According to a July 31, 2013, posting on cnn.com sub-sequent to the death of a child who bit into a peanut, a 2010 study in the journal Pediatrics found that 8% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 39% had a history of severe reaction. a. If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction? b. It was also reported that 30% of those with an allergy in fact are allergic to multiple foods. If a child younger than 18 is randomly selected, what is the probability that he or she is allergic to multiple foods?

Step-by-Step Solution:

Answer : Step 1 of 2 : Given, According to a July 31, 2013, posting on cnn.com sub-sequent to the death of a child who bit into a peanut, a 2010 study in the journal Pediatrics found that 8% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 39% had a history of severe reaction a) 8% of children younger than 18 in the United States have at least one food allergy = 0.08 39% had a history of severe reaction = 0.39 The claim is to find the probability that he or she has at least one food allergy and a history of severe reaction Use the multiplication rule for two events P(AB) = P(A) P(B) where , P(A) = 0.08 and P(B) = 0.39 Then, P(AB) = 0.08*0.39 = 0.312

Step 2 of 2

##### ISBN: 9780321629111

Since the solution to 51E from 2 chapter was answered, more than 1505 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences, edition: 9. This full solution covers the following key subjects: younger, food, allergy, Child, severe. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Probability and Statistics for Engineering and the Sciences was written by and is associated to the ISBN: 9780321629111. The full step-by-step solution to problem: 51E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. The answer to “According to a July 31, 2013, posting on cnn.com sub-sequent to the death of a child who bit into a peanut, a 2010 study in the journal Pediatrics found that 8% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 39% had a history of severe reaction. a. If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and a history of severe reaction? b. It was also reported that 30% of those with an allergy in fact are allergic to multiple foods. If a child younger than 18 is randomly selected, what is the probability that he or she is allergic to multiple foods?” is broken down into a number of easy to follow steps, and 130 words.

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