NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 25 children and let X be the number in the sample who have a food allergy. Then X ~ Bin(25, 0.05). a. Determine both P(X <= 3) and P(X < 3). b. Determine P(X >= 4). c. Determine P(1 <= X <= 3).

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NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some
sort. Consider selecting a random sample of 25 children
and let X be the number in the sample who have a food
allergy. Then X ~ Bin(25, 0.05).


a. Determine both P(X <= 3) and P(X < 3).


b. Determine P(X >= 4).


c. Determine P(1 <= X <= 3).


d. What are E(X) and σx?


e. In a sample of 50 children, what is the probability
that none has a food allergy?

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