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