According to the National Institute of Allergy and Infectious Diseases, approximately 8% of American children 4 years of age or under have a food allergy. A day care has capacity for 10 children in that age range. Assume that the children attending the daycare are independent. Let the random variable X be the number of children in this day care who have a food allergy.    What is the probability P(X > 2)? What is the probability P(2≤ x ≤ 4) ?

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According to the National Institute of Allergy and Infectious Diseases, approximately 8% of American children 4 years of age or under have a food allergy. A day care has capacity for 10 children in that age range. Assume that the children attending the daycare are independent. Let the random variable X be the number of children in this day care who have a food allergy. 

 

What is the probability P(X > 2)?

What is the probability P(2≤ x ≤ 4) ?

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