A recent survey of more than 40,000 children found that 2% were allergic to peanuts. Choose...

   

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A recent survey of more than 40,000 children found that 2% were allergic to peanuts. Choose 5 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, 3, 4, and 5. Make five-stage tree diagram of the outcomes (allergic or not allergic) for the 5 individuals, and use it to find the probability distribution of $X$. A recent survey of more than 40,000 children found that 2% were allergic to peanuts. Choose 5 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, 3, 4, and 5. Make five-stage tree diagram of the outcomes (allergic or not allergic) for the 5 individuals, and use it to find the probability distribution of $X$.