NBC News reported that 1 in 20 children in the US have a foo

NBC News reported that 1 in 20 children in the US 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. a. Determine both P(X 3) and P(X < 3). b. Determine P(X 3). c. Determine P(1 X 3). d. What are expected value and standard deviation of X? e. In a sample of 50 children, what is the probability that none has a food allergy?

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