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 20 children and let X be the number in the sample who have a food allergy. Thanx Bin(20, 0.05). (Round your probabilities to three decimal places.) USE SALT (a) Determine both AX s 2) and PX < 2). P(X & 2) = P(X < 2) = (b) Determine P(X 23). P(X & 3) = (t) Determine P(1 ≤ x ≤ 2). P(1 ≤XS 2) = (d) What are E(X) and ? (Round your answers to two decimal places.) E(X)= (e) In a sample of 70 children, what is the probability that none has a food allergy?

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