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). (round your probabilities to three decimal places.) (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 sigma (x)? (e). in a sample of 50 children, what is the probablity that none have a food allergy?