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. Make a three‑stage tree diagram of the outcomes (allergic or not allergic) for the three individuals and use it to find the probability distribution of ?. Give your answers to six decimal places. ?(?=0)=     ?(?=1)=

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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. Make a three‑stage tree diagram of the outcomes (allergic or not allergic) for the three individuals and use it to find the probability distribution of ?. Give your answers to six decimal places.

?(?=0)=
 
 
?(?=1)=
 
 
?(?=2)=
 
 
?(?=3)=
 
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