About 4% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable ?� be the number in this sample who are allergic to peanuts. The possible values ?� 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)=⁡(=0)=     ?(?=1)=⁡(�=1)=     ?(?=2)=⁡(�=2)=     ?(?=3)=⁡(�=3)=

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About 4% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable ?� be the number in this sample who are allergic to peanuts. The possible values ?� 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)=⁡(=0)=
 
 
?(?=1)=⁡(�=1)=
 
 
?(?=2)=⁡(�=2)=
 
 
?(?=3)=⁡(�=3)=
 
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What is the answer for  these two problems ?  P(X=1)=      AND   P(X=2)=

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