NBC News reported on May 2. 2013. that 1 in 20 children in the United States have a food allergy of some sort. Conside 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, .05). a. Determine both P(XS3) and P(X< 3). b. Determine P(X>4). c. Determine P( 15XS 3). d. What are E(X) and o̟? e. In a sample of 50 children, what is the probability that none has a food allergy?

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